Question

Three angles of a quadrilateral are equal. If the fourth angle is 105, find the magnitude of
each of the equal angles.​

Answer 1

Answer:

Ans. 85°

Step-by-step explanation:

Angles of a quadrilateral measure 360°.

Given Angle is 105°.

Equal Angles:

let measure of equal angles be x

105+x+x+x=360°.

3x=360-105

3x=255

x=255/3

x=85°

Answer 2

Answer:

Let the angles be x

Step-by-step explanation:

x+x+x+105=360

---(angle sum property of a quadrilateral)

3x+105=360

3x =360-105

x. =255/3

x. =85

therefore magnitude of three equal angles is 85 degree