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3 years ago

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

Mathematics

2 answers:

umka2103 [35]3 years ago

8 0

Triangles are similar meaning their angles are identical and sides may vary.
180deg in any triangle
180-35-95= L and A

ruslelena [56]3 years ago

6 0

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°

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