Question

an exterior angle of a triangle is of measure 70 degree and one of its interior opposite angles is of measure 25 degree .find the measure of the other interior opposite angle​

Answer 1

Answer:

110 and 45 degree

Step-by-step explanation:

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Answer 2

Given :

• An exterior angle of a triangle is of measure 70° .
• Its interior opposite angles is of measure 25° .

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To Find :

• The measure of other interior opposite angle .

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Theorem :

Exterior angle property of a triangle : If a side of a triangle is produced, then the exterior angle so formed is equal to sum of two interior opposite angles.

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Solution :

• Let's assume the other interior opposite angle as x .

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According to the Question :

$\\ \sf{\dashrightarrow { x + 25 {}^{ \circ} = 70 {}^{ \circ} }} \: \tt \\ \\ \sf \dashrightarrow \sf \: x = 70 {}^{ \circ} - 25 {}^{ \circ} \\ \\ \sf \dashrightarrow \sf \: x = 45 {}^{ \circ} \: \: \: \: \:$

Henceforth,

• The measure of other interior opposite angle is 45°