Lines & Triangles Practice

Find m∠1

123°

Find m∠1

30°

The ratio of the angle measures of the acute angles in a right triangle is 1:2. What are the measures of these angles?

30° and 60°

What is the measure of each angle in an equilateral triangle?

60°

The measure of one angle of a triangle is 40°. The measures of the other two angles are in a ratio of 3:4. What are the measures of these two angles?

60° and 80°

Find m∠1

90°

Which theorems or postulates could you use to find m∠1 in the previous question?

Triangle Angle-Sum Theorem and Triangle Exterior Angle Theorem

Which Theorems or postulates allow you to find the value of y?

Vertical Angles Theorem and Triangle Angle-Sum Theorem

Find the value of x.

x=37

Find the value of each variable.

x=80, y=80