Three angles of a quadrilateral are 75°, 90° and 75°. What is the measure of the fourth angle? No spam..I want step-by-step explanation

the inside of quadrilateral is always 360°.So add 75°,90° and 75° and then subyaract from360°.

x+75°+75°+90°=360

×+240°=360°

x=360°-240°

x=120°

We know, by angle sum property, the sum of angles of a quadrilateral is 360°.

The given angles are 75°,90°and 75°.

Let the fourth angle be x°

Then,

75°+90°+75°+x° = 360°

⇒360° - (75°+90°+75°) = x°

⇒x° = 360° - 240° = 120°

x° = 120°

Therefore, the fourth angle is x° = 120°

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