Question

An exterior angle of a triangle is of measure 130° and one of its interior opposite angles is of

measure 48°. Find the measure of other interior opposite angle.
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Answer 1

Answer:

Step-by-step explanation

exterior angle of triangle=130°

one of its interior angle=48°

other interior angle=exterior angle - one of its interior angle

=130°-48°

=82°

Hope, it will be helpful!

Answer 2

Answer :-

• Other Interior Angle = 82°

Explanation :-

Given :

• An exterior angle of a triangle is of measure 130°

• One of its interior opposite angles is of measure 48°

To Find :

• Other Interior Angle.

Solution :

Let other angle be x.

We know that,

Exterior Angle = Interior Angle + Other Interior Angle.

⇒ 130° = 48° + x°

⇒ x° = 130° - 48°

⇒ x = 82°

Therefore, Other Interior Angle = 82°

Verification :

Exterior Angle = Interior Angle + Other Interior Angle.

⇒ 130° = 48° + x°

⇒ 130° = 48° + 82°

⇒ 130° = 130°

LHS = RHS.

Hence, Verified.