Question

An exterior angle of a triangle is of measure 70° and one of its interior opposite angle is of measure 25°. Find the measure of the other interior opposite angle.​

Answer 1

As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

According to the question,

70° = 25° + Interior angle

Interior angle = 70° - 25°

Interior angle = 45°

Hence the other interior opposite angle is 45°

Answer 2

$\huge{\mathcal{\underline\red{Question}}}$

An exterior angle of a triangle is of measure 70° and one of its interior opposite angle is of measure 25°. Find the measure of the other interior opposite angle.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\huge\boxed{\blue{Given :}}$

➣ An exterior angle of a triangle = 70°

➣ One of the opposite interior angle of the exterior angle = 25°

$\huge\boxed{\red{To \: Find :}}$

➣ The other interior opposite angle

$\huge\boxed{\pink {Solution :}}$

➪ Let the other interior opposite angle = x

➪ Sum of interior opposite angles of a triangle is equal to the exterior angle of triangle

➪ Exterior angle of a triangle = Sum of its interior opposite angle

⇒ 70° = 25° + x

⇒ x = 70° - 25°

⇒ x = 45°

➦ So, the measure of the other interior opposite angle is 45°