Question

1) ABCD is a rhombus. Angle A is 70 degree,.Find the measure of Angle B.
2)The interior angle of a regular polygon is 156 degree. find the number of sides of polygon .​

Answer 1

1) 110 degree 2)15 sides

Step-by-step explanation:

In a rhombus, opposite angles are equal

angle A= angle C= 70 degrees

let the measure of angle B be x

angle b = angle d = x

The sum of interior angles of a rhombus is 360

70 +70+x+x=360

140 + 2x=360

2x=360-140

2x=220

x=110

Therefore, measure of angle B is 110 degrees

2) interior angle =156 degree

exterior angle = 180-156=24

The sum of exterior angles of any polygon is 360 degrees

no. of sides= 360/24= 15

therefore it has 15 sides