Discover Circle Theorem Help for Triangle PST: PSR Angle = 77 Degrees

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  • #1
Chijioke
14
3
Homework Statement
Find angle PSR, if PQRS is a circle and PQT and SRT are straight lines
Relevant Equations
sum of angles in a triangle = 180 degree
IMG_20230610_014211 (1).jpg

From triangle PST, angle PSR = 180-(81+22)
=77 degrees sum of angles in triangle.
Is my attempt correct?
 
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Likes DaveE
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  • #2
Chijioke said:
Homework Statement: Find angle PSR, if PQRS is a circle and PQT and SRT are straight lines
Relevant Equations: sum of angles in a triangle = 180 degree

View attachment 329703
From triangle PST, angle PSR = 180-(81+22)
=77 degrees sum of angles in triangle.
Is my attempt correct?
Looks good to me.
 
  • Like
Likes Chijioke

1. What is the purpose of using circle theorem to solve problems involving triangles?

The purpose of using circle theorem is to understand the relationships between the sides and angles of a triangle that is inscribed in a circle. This can help in solving various problems related to triangles, such as finding missing angles or sides.

2. How do you find the measure of angle PSR in triangle PST if it is not given?

If the measure of angle PSR is not given, you can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, you can subtract the known angles from 180 degrees to find the measure of angle PSR.

3. Can circle theorem be used to solve problems involving any type of triangle?

Yes, circle theorem can be used to solve problems involving any type of triangle, including equilateral, isosceles, and scalene triangles. However, it is most commonly used for right triangles.

4. What is the relationship between the angles in a triangle inscribed in a circle?

The relationship between the angles in a triangle inscribed in a circle is that the measure of an inscribed angle is half the measure of the arc it intercepts. This is known as the inscribed angle theorem.

5. How can circle theorem be applied in real life situations?

Circle theorem can be applied in real life situations such as construction, architecture, and engineering. It can also be used in navigation and surveying to calculate distances and angles. Additionally, it is used in various fields of science and technology, such as astronomy and physics.

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