Question

The Two interior opposite angles of an exterior angle of a triangle are 60° and 60°. Find the Measure of the exterior angle.

Answer 1

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The Two interior opposite angles of an exterior angle of a triangle are 60° and 60°. Find the Measure of the exterior angle.

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

$\sf\green{Given :}$

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

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

$\sf\red{To \: Find :}$

➙ Measure of the exterior angle of the triangle

$\sf\pink{Solution :}$

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

⟼ Exterior Angle = Sum of its interior opposite angles

⟼ Exterior Angle = 60° + 60°

⟼ Exterior Angle = 120°

➦$\sf\blue{ So, \:the\:Measure}$$\sf\blue{of \:the \:exterior \:Angle}$ $\sf\blue{of\: the\: triangle\: is\:120°}$

Answer 2

${ \blue{ \large{ \overbrace{ \underbrace{ \mid \: { \pink{ \bigstar} \: { \green{AnSwEr :}} \: { \pink{ \bigstar} \: \mid}}}}}}}$

$\fbox \red{Given:- }$

• An interior angle opposite to an exterior angle = 60°
• Another interior angle opposite to an exterior angle = 60°

$\fbox \blue{To \: Find :}$

➙ Measure of the exterior angle of the triangle

$\fbox \red{Solution:}$

┗ Sum of interior opposite angles of a triangle is equal to exterior angle of triangle.

⟼ Exterior Angle = Sum of its interior opposite angles

⟼ Exterior Angle = 60° + 60°

⟼ Exterior Angle = 120°

$\downarrow\sf\blue{ So, \:the\:Measure}\sf\blue{of \:the \:exterior \:Angle}\sf\blue{of\: the\: triangle\: is\:120°}$