Question

An exterior angle of a triangle is of measure 100° and one of its interior opposite angles is of measure 70°.Find the measure of the other interior opposite angle.​

Answer 1

Answer:

The sum of the two opposite interior angles of triangles is equal the measure of exterior angle. So, Your Answer = Option (B) 45 degrees.

Answer 2

$\huge\fbox\orange{QUE}{\colorbox{blue}{ST}}\fbox\green{ION}$

An exterior angle of a triangle is of measure 100° and one of its interior opposite angles is of measure 70°.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 the triangle = 100°

➣ One interior opposite angle of an exterior angle of a triangle = 70°

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

➣ Another interior opposite angle of an exterior angle of a triangle

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

➪ Let the another interior opposite angle of an exterior angle of a triangle be x

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

➪ Exterior Angle = Sum of its interior opposite angles

⇒ 100° = x + 70°

⇒ x = 100° - 70°

⇒ x = 30°

➦ So, the measure of the another interior opposite angle of an exterior angle of a triangle is 30°