MATH SOLVE

5 months ago

Q:
# △ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L? Enter your answer in the box.

Accepted Solution

A:

When two triangles are similar, the ratio of the corresponding sides are in proportion.Also the corresponding angles are congruent.Here we are given that B= 35° & C = 95°Now by angle sum propertyA + B + C = 180°A + 35 + 95 = 180A + 130 = 180Subtracting 130 from both sides, we getA = 180 - 130A = 50°.Now ΔABC ~ ΔLMNSo by definition of similarityA = LBut A = 50°.Hence L = 50°