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3 years ago

WILL GIVE BRAINLYIST

Mathematics

1 answer:

marysya [2.9K]3 years ago

3 0

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

$\frac{PR}{PQ} =\frac{SU}{ST}$ $\frac{21}{14}= \frac{6}{4}$

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

$A+B+C=180$

$46+70+C+180$

$116+C=180$

subtract 116 from both sides

$C=64$

Therefore ∠Q is equal to 64 degrees

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