Question

The two interior angles of an exterior angle of a triangle are 60° and 80°. Find the measure of the exterior angle.​

Answer 1

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

The two interior angles of an exterior angle of a triangle are 60° and 80°. Find the measure of the exterior angle.

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

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

➣ One interior angle opposite to an exterior angle = 60°

➣ Another interior angle opposite to an exterior angle = 80°

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

➣ Measure of the exterior angle of the triangle

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

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

➪ Exterior Angle = Sum of its interior opposite angles

⇒ Exterior angle of the triangle = 60° + 80°

⇒ Exterior angle of the triangle = 140°

➦ So, the measure of the exterior angle of the triangle is 140°

Answer 2

Answer:

the two interior opposite angles of the exterior angle of a triangle are 60 degrees and 80 degrees. The Measure of the exterior angle is equal to the sum of two interior opposite angles. Hence, the measure of the exterior angle will be 60°+80° = 140°.