Question

in a quadrilateral ABCD the measure of angle D equal to 150 degree and angle A =angle B =angle C ; find angle A​

Answer 1

Answer: 70*

Step-by-step explanation:

The sum of angles in a quadrilateral is 360*

So, A + B + C + D = 360*

Since, A = B = C and D = 150* we can rewrite the equation as

A + A + A + 150* = 360*

3A = 360* - 150* = 210

A = $\frac{210}{3}$ = 70*

Answer 2

Answer:

a quadrilateral have four side and sum of all angles of four sides is 360 so if angle A,B,C are equal ,let them x.So equation will be x+x+x+150=360. 3x=360-150. 3x=210. x=70. hence angle A is 70