8/10 Geometry - Find the missing angles, Angle relationships 2

x=4 Same side interior angles are supplementary (add up to 180).

Solve for x and justify your answer with a vocabulary term.

x=81 degrees, vertical angles y=21 degrees, supplementary angles (78+81+y=180)

Solve for x and y, and justify each answer with a vocabulary term.

x=86 degrees, supplementary angles (25+69+x=180) y=69 degrees, vertical angles

Solve for x and y, and justify each answer with a vocabulary term.

x=23 Linear pairs are supplementary (add up to 180 degrees).

Solve for x.

x=23 degrees The angles shown are supplementary (add up to 180 degrees).

Solve for x.

x=9 Vertical angles are congruent.

Solve for x.

306

85% of a full rotation is how many degrees?

30

<1 and <2 are complementary angles. if m<1= -2x and the m<2= 5x, solve for x.

43

<1 and <2 are complementary angles. if m<1= 4 - 2x and the m<2= 4x, solve for x.

25

<1 and <2 are complementary angles. if m<1= x + 15 and the m<2= 2x, solve for x.

27

<A and <B are supplementary. if m<A = 4x+8 , and the m<B= 2x+10, solve for x.

9

<A and <B are supplementary. if m<A = x+139 , and the m<B= 32, solve for x.

32

<A and <B are supplementary. if m<A = x-4 , and the m<B= 5x-8, solve for x.

2

<A and <B are vertical angles. if m<A= 2x-6 and the m<B= 7x-16, solve for x.

12

<A and <B are vertical angles. if m<A= 3x+9 and the m<B= 4x-3, solve for x.

10

<A and <B are vertical angles. if m<A= 6x and the m<B= 5x +10, solve for x.

85

<A and <B form a linear pair. if m<A = -6x + 9 , and the m<B= 8x +1, solve for x.

16

Angles T and V are complementary. Angle T has a measure of (2x + 10) degrees. Angle V has a measure of 48 degrees. What is the value of x?

B. Same Side Interior Angles C. Supplementary Angles D. Linear Pair (A. Alternate Interior Angles are congruent to each other)

Angles that add up to 180 degrees are... (Select all that apply.) A. Alternate Interior Angles B. Same Side Interior Angles C. Supplementary Angles D. Linear Pair

x= -9 Same side interior angles are supplementary (add up to 180).

Solve for x and justify your answer with a vocabulary term.

x=20 Vertical angles are congruent.

Solve for x and justify your answer with a vocabulary term.

A: 101 degrees, vertical angles B: 30 degrees, isosceles triangle conjecture/triangle sum conjecture C: 49 degrees, triangle sum conjecture

Solve for A, B, and C, and justify each with the vocabulary term you used to solve.

a: 37 degrees, linear pair b: 143 degrees, vertical angles c: 37 degrees, alternate interior angles d: 58 degrees, supplementary angles e: 37 degrees, vertical angles f: 53 degrees, triangle sum conjecture g: 48 degrees, isosceles triangle conjecture h: 84 degrees, triangle sum conjecture k: 96 degrees, linear pair m: 26 degrees, triangle sum conjecture p: 69 degrees, triangle sum conjecture r: 111 degrees, linear pair s: 69 degrees, corresponding angles

Solve for all variables and justify each with the vocabulary term you used to solve.

a: 64 degrees, vertical angles b: 116 degrees, linear pair c: 116 degrees, alternate exterior angles d: 64 degrees, alternate exterior angles e: 108 degrees, vertical angles f: 72 degrees, linear pair g: 108 degrees, corresponding angles h: 72 degrees, linear pair i: 108 degrees, corresponding angles j: 108 degrees, vertical angles k: 108 degrees, linear pair m: 105 degrees, linear pair n: 79 degrees, vertical angles p: 90 degrees, linear pair q: 116 degrees, triangle sum conjecture and linear pair s: 72 degrees, linear pair t: 119 degrees, linear pair

Solve for all variables and justify each with the vocabulary term you used to solve.

b=136 degrees Isosceles triangle conjecture, triangle sum conjecture, linear pair

Solve for b and justify with the vocabulary terms that helped you find your answer.

b=60 degrees Alternate exterior angles are congruent

Solve for b and justify your answer with a vocabulary term.

b=85 degrees Alternate interior angles are congruent.

Solve for b and justify your answer with a vocabulary term.

g=143 Alternate interior angles, triangle sum conjecture, linear pair.

Solve for g and justify with the vocabulary terms that helped you find your answer.

x=31 degrees Vertical angles, triangle sum conjecture, vertical angles (again), supplementary angles.

Solve for x and justify with the vocabulary terms that helped you find your answer.

17

There are 2 angles on a line. One angle is (8b - 12) degrees. One is b degrees and the other is (2b + 5) degrees. What is the value of the smallest angle?

104

There are 4 angles at a point. One angle is 126 degrees, one is 26 degrees, and the last two angles are x degrees each. Find the value of x.

50

There are four angles on a line. One angle is 6x degrees, one is 4x degrees, one is 2x degrees, and the other is 30 degrees. What is the measure of the second largest angle?

72

Two angles, a and b, are supplementary. Angle a is represented by 3x degrees and angle b is 2x degrees. What is the degree of the smaller angle?

60

Two lines intersect. The ratio of the measurements of the obtuse angle to the acute angle in any adjacent angle pair is 2:1. Find the measure of the acute angle.