Math, asked by BeBrainly800, 1 month ago

The two interior opposite angles of an exterior angle of a triangle are 30° and 40°. Find the Measure of the exterior angle.​

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Answered by gursharanjali
2

Answer:

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Answered by ItZzKhushi
2

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

The two interior opposite angles of an exterior angle of a triangle are 30° and 40°. 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 opposite angle of an exterior angle of a triangle = 30°

➣ Another interior opposite angle of an exterior angle of a triangle = 40°

\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 the exterior angle of the triangle

➪ Exterior Angle = Sum of its interior opposite angles

⇒ Exterior Angle = 30° + 40°

⇒ Exterior Angle = 70°

➦ So, the measure of the exterior angle of the triangle is 70°

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