Question

A quadrilateral has three acute angles, each measures 80°. What is the measure of the fourth angle?

Answer 1

answer of these question

Answer 2

➤ AnsweR :-

$\: \: \: \: \: \: → \: \large\bf\red{ 120°}$

➤ SolutioN :-

➤ Given :-

• Measure of three acute angles 80°

Angle sum property of Quadrilateral = 360°

$\: \: \: \: \: \large\bf \underline { \: \: Calculating \: ∠4 :- }$

$\: \: \: \: \: \large\bf{ ⇒ \: \: ∠1 + ∠2 + ∠3 + ∠4 = 360°}$

$\: \: \: \: \: \large\bf{⇒ \: \: 80° + 80° + 80° + ∠4 = 360°}$

$\: \: \: \: \: \large\bf{ ⇒ \: \: 160° + 80° + ∠4 = 360°}$

$\: \: \: \: \: \large\bf{⇒ \: \: 240°+ ∠4 = 360°}$

$\: \: \: \: \: \large\bf{ ⇒ \: \: ∠4 = 360° - 240° }$

$\: \: \: \: \: \large\bf{⇒ \: \: ∠4 = \red{ 120°}}$

∴ Fourth Angle of Quadrilateral is 120°.

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