Question

Find the value of angle x in the given figure.

Answer 1

Answer:

value of angle x is 100degree

Answer 2

Step-by-step explanation:

Given :-

65° and 35°

To find:-

Find the value of x?

Solution:-

Method-1:-

Given angles in a triangle are 35° and 65°

X° is the exterior angle formed by the side is extended one side

65° and 35° are the opposite two interior angles to X°

We know that

The exterior angle is equal to the sum of opposite interior angles

= X°=65°+35°

=>X°=100°

The value of X°=100°

Method-2:-

Given angles are 65° and 35°

We know that the sum of all the three angles ina triangle is equal to 180°

35°+65°+third angle = 180°

=>100°+third angle = 180°

=>third angle = 180°-100°

Third angle = 80°

And 80° and X° are the linear pair

=>80°+X°=180°

=>X°=180°-80°

=>X°=100°

The value of X°=100°

Answer:-

The value of X°=100° for the given problem

Used formulae:-

• The exterior angle is equal to the sum of opposite interior angles.

• the sum of all the three angles ina triangle is equal to 180°