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Find the measure of each angle indicated (quadrilaterals)

I think it’s 100 I just wanna make sure if it is

Find the measure of each angle indicated (quadrilaterals) I think it’s 100 I just-example-1

1 Answer

1 vote

Question :-

Find the measure of each angle indicated.

○ 44°

○ 68°

○ 59°

○ 100°

____________________

Solution :-

Given Information :-

  • ∠S = 95°
  • ∠T = 85°
  • ∠Q = 80°

To Find :-

  • The measure of ∠R

Formula Used :-

  • Sum of all angles of a Quadrilateral = 360°

Calculation :-

We will simply substitute the given values in the formula,

Sum of all angles of a Quadrilateral = 360°

∠S + ∠T + ∠Q + ∠R = 360°

Substituting the values given, We get,

⇒ 95° + 85° + 80° + ∠R = 360°

Calculating further, We get,

⇒ 260° + ∠R = 360°

Transposing 260° to Right Hand Side, We get,

⇒ ∠R = 360° - 260°

Calculating further, We get,

⇒ ∠R = 100°

∠R = 100°

____________________

Final Answer :-

The measure of ∠R is 100°

Hence, Last option i.e., 100° is correct answer.

____________________

User Mike Burba
by
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