Question

an exterior angle of a triangle is of the measure 85° and one of its interior opposite angle is of the measure 13°. find the measure of the other interior opposite angle.​

Answer 1

Given

We have Given an exterior angle of 85°

and one opposite interior angle is 13°

To Find

we have to find the other interior opposite angles

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Since,we don't know the other opposite angle but we have given one interior angle and one exterior angle.

➛ Let the other interior angle be 'x'

Here, property of triangle will use :

➧The sum of two interior angles is equal to the opposite exterior angle [ exterior angle property]

By using exterior angle property

➛ 1st interior angle+2nd interior angle = exterior angle

➛13°+x = 85°

➛x= 85-13

➛x= 72°

Hence,the other interior opposite angle is 72°

Extra information=>

More triangle properties :

• The sum of all angles in a triangle is equal to 180°.
• The sum of any two sides is always greater than the third side.
• In an equilateral triangle each angle is of 60°.
• In a right angled triangle one angle is 90°.

Answer 2

More triangle properties :

The sum of all angles in a triangle is equal to 180°.

The sum of any two sides is always greater than the third side.

In an equilateral triangle each angle is of 60°.

In a right angled triangle one angle is 90°.