Question

Find the measure of each angle indicated (quadrilaterals)

Answer 1

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.

____________________