Question

one angle of a quadrilateral is 150 and 3 angles are equal. find the measures of the other three angles?​

Answer 1

Answer:

$70°, 70°, 70°$

$Let \: the \: each \: equal \: angle \: be \: 'x'.$

Sum of all angles of quadrilateral is 360°

$⇒ 150 + x + x + x = 360$

$⇒ 150 + 3x = 360$

$⇒ 3x = 360 - 150$

$⇒ 3x = 210$

$⇒ x = 210/3$

$⇒ x = 70°$

 

$Value \: of \: each \: equal \: angle \: is \: 70$

°.

Answer 2

Answer:

70°,70°,70°

Let \: the \: each \: equal \: angle \: be \: 'x'.Lettheeachequalanglebe

′

x

′

.

Sum of all angles of quadrilateral is 360°

⇒ 150 + x + x + x = 360⇒150+x+x+x=360

⇒ 150 + 3x = 360⇒150+3x=360

⇒ 3x = 360 - 150⇒3x=360−150

⇒ 3x = 210⇒3x=210

⇒ x = 210/3⇒x=210/3

⇒ x = 70°⇒x=70°

Value of each equal angle is 70

°.