△ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L?
2 answers:
Triangles are similar meaning their angles are identical and sides may vary.
180deg in any triangle
180-35-95= L and 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 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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