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Find the value of x in each case. Give reasons to justify your solutions!
Q ∈ PR
QUICKLY PLEASE I NEED THE ANSWER RIGHT AWAY.

Find the value of x in each case. Give reasons to justify your solutions! Q ∈ PR QUICKLY PLEASE I NEED THE ANSWER RIGHT AWAY. class=

Answer :

jay40891

Answer:

x = 52

Step-by-step explanation:

Since we know that all angles of a triangle add up to 190 degrees,

Angle RQS = 180 - 90 - 34

= 56 degrees

Angle PQS = 180 - 56 (Angles on a straight line add up to 180)

= 124 degrees.

Therefore, x + 72 = 124

x = 52

akposevictor

Based on the exterior angle theorem, the value of x is: 52

What is the Exterior Angle Theorem of a Triangle?

The exterior angle theorem states that the exterior angle to any vertex of a triangle equal the sum of the two interior angles opposite to it.

  • Thus:

34° and 90° are two interior angles of ΔQRS, and they are opposite to the exterior angle, x + 72°.

  • Therefore:

x + 72 = 34 + 90 (exterior angle theorem)

x + 72 = 124

x = 124 - 72

x = 52

Therefore, based on the exterior angle theorem, the value of x is: 52

Learn more about exterior angle theorem on:

https://brainly.com/question/11356657

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