34.0k views
0 votes
Please who steps.on how to solve. ​

Please who steps.on how to solve. ​-example-1
User Danilo
by
8.2k points

1 Answer

4 votes

Answer:

51°

Explanation:

An inscribed angle is half of the arc it intercepts. This means that arc QR is twice m<QTR or 78°.

Since <QSR is a central angle, it equals the arc it intercepts. This means m<QSR equals arc QR which is 78°.

We can say that QS equals to RS because they are both radii, and radii of the same circle are equal. This means triangle QSR is isosceles.

Let <QRS equal x. Because of base angle theorem, <SQR would also be equal to x. Since the angles in a triangle add up to 180, we can write an equation to model the situation:

m<QRS + m<SQR + m<QSR = 180

We can substitute the values we have:

x + x + 78 = 180

2x = 102

x = 51

Since <QRS is equal to x, it is 51°

User Itsik Avidan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories