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Klio2033 [76]
3 years ago
11

Bonus: In Triangle STP, the measure of <T is twice the measure of <S and the

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

m∠S=30°

m∠T=60°

m∠P=90°

Step-by-step explanation:

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

In the triangle STP

m∠S+m∠T+m∠P=180° ----> equation A

m∠T=2(m∠S) ----> equation B

m∠P=3(m∠S) ----> equation C

Solve the system of equations by substitution

Substitute equation B and equation C in equation A

m∠S+2(m∠S)+3(m∠S)=180°

Solve for m∠S

6m∠S=180°

m∠S=30°

<em>Find m∠T</em>

m∠T=2(m∠S)

m∠T=2(30°)=60°

<em>Find m∠P</em>

m∠P=3(m∠S)

m∠P=3(30°)=90°

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