Question

Find the value of x. (The figure may not be drawn to scale.)

Answer 1

Answer:

the value of x is 45° that is a aqute angle.

Answer 2

We know that , all exterior angles adds up to 360⁰

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$\text{ ➪ ( x + 23 )⁰ + 38⁰ + 77⁰ + 56⁰ + 64⁰ + x⁰ = 360⁰ }$

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$\text{ ➪ x⁰ + 23⁰ + 235⁰ + x⁰ = 360⁰ }$

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$\text{ ➪ 2x⁰ + 258⁰ = 360⁰ }$

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$\text{ ➪ 2x⁰ = 360⁰ - 258⁰ }$

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$\text{ ➪ 2x = 102 }$ㅤㅤㅤ

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$\sf{ ➪ \:x \:= \: \dfrac{102}{2} }$ㅤㅤㅤ

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$\text{ ➪ x = 51⁰ }$

•°• x = 51⁰