Question

NEED HELP PLEASE HELP​

Answer 1

Answer:

AOB = 100°

Step-by-step explanation:

Given:

Angle C = 70°

Angle D = 130°

Angle ABO = Angle ABC/2

Angle BAO = Angle BAD/2

To Find:

Angle AOB = x

Solution:

In Quad. ABCD;

Angles A + B + C + D = 360° (angle-sum)

Angle A + Angle B + 70° + 130° = 360°

Angle A + Angle B = 360° - 200°

= 160°

Angle A/2 = Angle BAO (given)

Angle B/2 = Angle ABO (given)

A + B = 160°

A/2 + B/2 = 160° ÷ 2

BAO + ABO = 80°

In ∆ABO;

BAO + ABO + AOB = 180° (angle-sum)

80° + AOB = 180°

AOB = 180° - 80° = 100°

AOB = 100° = x

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