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If PQR = STU, find the measure of each part.

R
8 m
59°
P
7 m
g
75
T
U

User Soli
by
4.9k points

1 Answer

1 vote

The answer is below

Explanation:

Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.

Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.

∠P = ∠S = 59°

∠S + ∠T + ∠U = 180° (sum of angles in a triangle)

59 + 75 + ∠U = 180°

134 + ∠U = 180°

∠U = 46°

∠U = ∠R = 46°

∠Q = ∠T = 75°

Also, for the sides:

ST = PQ = 7 m

SU = PR = 8 m

If PQR = STU, find the measure of each part. R 8 m 59° P 7 m g 75 T U-example-1
User Eugene Gordin
by
4.7k points
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