Question

in a parallelogram ABCD,angle d =115 ,determine the measure of angle a and angle b

Answer 1

Given:-

ABCD⇒║gm

D=115°

To find:-A°and B°

Solution:-

∠D=115°

∠C=180°-∠D(Co-interior angles are supplementary)

∠C=180°-115°

∠C=65°

∴∠A=65°(Opposite angles in a ║gm are equal)

∠B=115°(Opposite angles in a ║gm are equal)

Answer 2

Answer:

Step-by-step explanation:

We need to analyze the properties of a parallelogram.

The properties are as follows:

Given parallelogram ABCD then:

1) Sides AB and CD are parallel and equal whereas side Ad and DC are parallel and equal.

2) ∠a = ∠ b that is opposite angles are equal.

3) Adjacent angles that is ∠a and ∠d are supplementary.

From the given properties we can now answer the question.

∠d and ∠b are opposite hence they are equal.

∠d is adjacent to ∠a hence they are supplementary.

∠b = 115°

∠a = 180 - 115 = 65°