Assignment 2. Classify Measure Angles

In the diagram below, angle seven equals 61° what is the measure of angle 8?

A.119°

Which of the angle pairs can be classified as vertical angles?

A.<3 and <1 D. <2 and <4

acute angle

An angle that measures more than 0 degrees but less than 90 degrees

obtuse angle

An angle that measures more than 90 degrees but less than 180 degrees

Find the angle indicated. angle 7 is equal to angle blank

Angle 1

Find the angle indicated. angle six is equal to angle blank.

Angle 4

Find the Angle indicated. angle three is equal to angle blank?

Angle 5

Find the angle indicated. angle two is equal to angle blank

Angle 8

Vertical angles

Angles that are opposite from one another at the intersection of two lines; vertical angles are congruent

If two angles are supplementary and one of the angles measure 38°, what is the measure of the larger angle?

B. 142°

If each of two complementary angles have the same measure, then each angle will equal blank

C. 45°

If if angle 1 and angle 5 are vertical angles in the angle 1 equals 55°, then angle 5 will equal blank

C. 55°

Two angles are adjacent, as shown in the diagram below. part a: Use complete sentences to describe the relationship between the adjacent angles. Part B: Make an equation to solve for X. Part C: Use your equation from part A and the value of X from Part B to prove your equation to be true for the adjacent angles in the diagram

Part A (describe their relation are the angles supplementary or complementary) Part B: 2x+68=180 2x=180-68 2x=112 X= 56° Part C: 2x+68=2x(56)+68 112*68=180

Two angles are complementary, As shown in the diagram below. Part A. Use the definition of complementary angles to set up an equation that can be used to solve the value of X. part B. Solve for the value of x.

Part A. X+15=90 Part B. X+15=90 X=90-15 X=75 degrees

Vertex

The point where two line segments, Lines, or rays meet to form an angle

Adjacent angles

Two angles that have a common vertex and side but are not overlapping

Supplementary angles

Two angles whose sum is 180°

complementary angles

Two angles whose sum is 90°

straight angle

an angle that measures exactly 180 degrees

right angle

an angle that measures exactly 90 degrees