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What is x and y? in the following figure with steps please

What is x and y? in the following figure with steps please-example-1

2 Answers

9 votes

Answer:

Y=32, X=148

Explanation:

By the opposite angle theorem, 32 must equal Y, so Y = 32.

To solve X:

A straight line has an angle of 180 degrees. Therefore, since 32 + X form a straight line, the angle should equal 180.

Solve.

32+X=180

X=180-32

X=148

User Erik Bakker
by
4.9k points
8 votes

Answer:

x: 148 degrees

y: 32 degrees

Explanation:

Hello!

To find the unknown values of these angles, we must understand the concept of intersecting lines. When calculating the angles of the intersecting lines, SQP and RQT are identical values since they are on the opposite ends of each other when given these sorts of problems. This helps us find y being 32 degrees.

On the other hand, to find x, we just need to focus on the line PQR. it's a line, which means that it is 180 degrees. Since SQP is 32 degrees, SQR, or the angle that is x, should be 180-32, which is 148

User Gravityboy
by
4.8k points