Question

In ABC, m A= 62° and mB=39⁰.

In XYZ, m Y=39° and m Z=79⁰.

Include in Your Answer:
What is mC?
What is mX?
• Is it possible for these two triangles to be similar? Why or
why not?

Answer 1

To find the measure of angle C in triangle ABC, we can use the fact that the sum of the angles in a triangle is 180°:
mC = 180° - mA - mB
mC = 180° - 62° - 39°
mC = 79°

To find the measure of angle X in triangle XYZ, we can use the same property:
mX = 180° - mY - mZ
mX = 180° - 39° - 79°
mX = 62°

To determine if the two triangles are similar, we need to compare the ratios of their corresponding side lengths. However, we do not have any information about the side lengths of these triangles, so we cannot determine if they are similar. In general, two triangles are similar if their corresponding angles are congruent and their corresponding side lengths are in proportion.