Question

if line ab and pq intersects at point o to form angle aoq = 65 degree , find the measure of the other three angles formed ... don't dare to spam ...

Answer 1

ONE REQUIRED FIGURE IS GIVEN ABOVE

Required Answer :

______________________

. Angle AOP = 65°

. Angle BOQ = 115°

. Angle AOP = 115°

. Angle BOP = 65°

Step by step explanation :-

Given :

. AB & PQ interest at O

. Angle AOQ = 65°

To find :

Measure of remaining three angles.

Explanation :

We know that, Angle formed on a straight line = 180°

so,

Angle AOQ + Angle BOQ = 180° ------( straight angle)

=> 65° + Angle BOQ = 180°

=> Angle BOQ = 180° - 65°

=> Angle BOQ = 115°

So, Angle BOQ = 115°

Similarly →

Angle AOQ + Angle AOP = 180° ----( straight angle)

=> 65° + Angle AOP = 180°

=> Angle AOP = 180°- 65°

=> Angle AOP = 115°

So, Angle AOP = 115°

Similarly →

Angle BOQ + Angle BOP = 180° ----( straight angle)

=> 115° + Angle BOP = 180°

=> Angle BOP = 180° - 115°

=> Angle BOP = 65°

So, Angle BOP = 65°

Answer 2

Answer:

65

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