Question

please give the answer with detailed explanation​

Answer 1

angle AOP +angle BOP =180. (LINEAR PAIR)

x+30+x-30=180

2x =180

x=90

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Answer 2

Answer:

(1) angle AOP = 120°

(2) angle BOP = 60°

(3) AOP is obtuse angle

(4) BOP is acute angle.

Step-by-step explanation:

Given :

• AOP = x+30°
• BOP = x-30°

To Find :

• AOP
• BOP
• which is obtuse angle
• which is acute angle

Solution :

According to the given question,

AOB is a straight line then the angle form on AOB is 180°

so,

AOP + BOP = 180°

=> ( x+30°)+(x-30°) = 180°

=> 2x + 0 = 180°

=> x = 180/2

=> x = 90°

Now,

putting the value of x in AOP and BOP =>

therefore,

AOP = 90+30 = 120°

and, BOP = 90-30 = 60°

Now,

==> Obtuse angle is the angle which is between the 90° to 180°

so,

AOP is obtuse angle.

===> Acute angle is the angle which is less then 90°

so,

BOP is Acute angle

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