mak693
Answered

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WILL GIVE BRAINLYIST

WILL GIVE BRAINLYIST class=

Sagot :

bryant061003

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

[tex]\frac{PR}{PQ} =\frac{SU}{ST}[/tex]          [tex]\frac{21}{14}= \frac{6}{4}[/tex]

∠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

[tex]A+B+C=180[/tex]

[tex]46+70+C+180[/tex]

[tex]116+C=180[/tex]

subtract 116 from both sides

[tex]C=64[/tex]

Therefore ∠Q is equal to 64 degrees

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