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PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.


Note: Figure is not drawn to scale.


What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°

PLEASE HELP In the figure below mR is 66 and mT is 122 Note Figure is not drawn to scale What is mQ A 58 B 56 C 24 D 124 class=

Respuesta :

mj3mar

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

Becky81

Answer:

m∠Q is 56°.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.

In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.

So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.

Therefore, m∠Q is 56°.

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