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Kazeer [188]
4 years ago
10

Please solve this question ASAP.

Mathematics
1 answer:
Igoryamba4 years ago
6 0

Answer:

<h2>m∠QPR = 80°</h2>

Step-by-step explanation:

Look at the picture.

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore

In ΔTQR we have the equation:

\alpha+\beta+130^o=180^o         <em>subtract 130° from both sides</em>

\alpha+\beta=50^o

In ΔPQR we have the equation:

2\alpha+2\beta+m\angle QPR=180^o

2(\alpha+\beta)+m\angle QPR=180^o

Substitute from the first equation

\alpha+\beta=50^o

2(50^o)+m\angle QPR=180^o

100^o+m\angle QPR=180^o            <em>subtract 100° from both sides</em>

m\angle QPR=80^o

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