Question

help me to solve this question

Answer 1

Your answer is in the attached picture...

Answer 2

you can solve this question with the help of the given example .. . but still i can help you..

As angle 1 and angle 2 are not given we can consider them as x,

sum of a triangle is = 180°

so as we solve it

2x = 180°
x = 180/2
x = 90°

therefore as it bisects it will be

90°/2 = 45°

so angle AOB = 90 °

you can see that angle C and angle D are also 90° due to the adjacent property of the triangle ..

so to prove that angle AOB = 1/2 ( angle C + angle D )

PUT THE VALUES...

90° = 1/2 ( 90° + 90° )

90° = 1/2 * 180°

90° = 180°/2

90° = 90°

hence proved ....

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