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

Question

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## Answers ( No )

Answer:I got 50°

Step-by-step explanation:△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. the measure of angle L = 50°

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 property

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

Subtracting 130 from both sides, we get

A = 180 – 130

A = 50°.

Now

ΔABC ~ ΔLMN

So by definition of similarity

A = L

But A = 50°.

Hence L = 50°