Question

if one angle of a quadrilateral is 105°, remaining three angles are equal find the angles
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Answer 1

Answer:

105°+x+x+x=360°

105°+3x=360°

3x=360-105

3x=255

x=255/3

x=85

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Answer 2

Answer:

$\large\mathcal{\underline{\underline{PLEASE \: }}}\large\mathcal\red{\underline{\underline{F}}}\large\mathcal\green{\underline{\underline{OLL}}}\large\mathcal\pink{\underline{\underline{OW \: }}}\large\mathcal\blue{\underline{\underline{ME}}}$

Step-by-step explanation:

given, one angle = 105°

let , the other three angles be x, y, & z.

now ,

Acc.to ques:

x=y=z. --------(1) [Given ]

so , by angle sum property of a quad.

105° + x + y + z = 360°

= 105° +x+x+x = 360°. [By (1) ]

= 3x = 255°

= x = 255/3 = 85°

therefore , the other angles are 85°.

I hope this will help you.

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$\huge\mathcal{\underline{\underline{PLEASE \: }}}\huge\mathcal\red{\underline{\underline{F}}}\huge\mathcal\green{\underline{\underline{OLL}}}\huge\mathcal\pink{\underline{\underline{OW \: }}}\huge\mathcal\blue{\underline{\underline{ME}}}$