Question

Find the measure of the unknown angles in the following figure.
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Answer 1

$\boxed{ \huge \star \: \red{\mathcal{QUESTION }}}$

• Find the measure of the unknown angles in the following figure

$\huge \boxed{ \star \red {\mathcal{ \: GIVEN}}}$

⇒ accoding to the question

• AB║CD

• ㄥA = ㄥC

$\huge \boxed{ \star \: \mathcal{ \red {ANSWER} }}$

Because of linear pair ,

$\implies \boxed{ \sf{u° = 180° - 141°}}$

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$\implies \: \huge\underline{\overline{\mid{\bold{{u° = 39°}}\mid}}}$

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Because of the given ,

• AB║CD

• ㄥA = ㄥC

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$\implies\huge\underline{\overline{\mid{\bold{{r° = 51°}}\mid}}}$

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then ,

• sum the the interior angle of a triange is 180°

$\implies \boxed{ \sf{u° +r° + v° = 180°}}$

$\implies \boxed{ \sf{39° +51 ° + v° = 180°}}$

$\implies \boxed{ \sf{90° + v° = 180°}}$

$\implies \boxed{ \sf {v° = 180° - 90°}}$

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$\implies \huge\underline{\overline{\mid{\bold{{v° = 90°}}\mid}}}$

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Answer 2

Answer:

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