Math, asked by rudranshisingh00974, 5 months ago

answer it right i mark you as brainliest, i report you if irrelevant, your answer should be match to the options with explanation​

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Answered by nandinisharmastudent
19

Answer:

Let  the other interior opposite angle be = x

x+ 36 = 108 ( Exterior angle property )

x = 108 - 36

x = 72 degrees.

Hence, the other interior opposite angle is 72 degrees.

Answered by SteelTitan
413

Answer:

Given:

Exterior angle of a triangle = 108⁰,

One of opposite interior angle = 36⁰

To Find:

Other two angles of triangle

Solution:

36 + ∠ABC = 108⁰ (sum of the two interior opposite angle is equal to the sum of Exterior angle)

∠ABC = 108 - 36

\therefore \underline{\boxed{\textbf{\textsf{\pink{ABC = 72}}}}}

∠ABC + ∠BAC + ∠ACB = 180⁰ (Angle sum property)

72⁰ + 36⁰ + ∠ACB = 180⁰

108⁰ + ∠ACB = 180⁰

∠ACB = 180⁰ - 108⁰

\therefore \underline{\boxed{\textbf{\textsf{\pink{ACB = 72}}}}}

Note:

Picture of required figure of question is above in attachment.⤴️

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