Question

If one pair of co interior angle is twice of other what are they?

Answer 1

Step-by-step explanation:

Given;

let, one angle = X .

whereas the other is = 2X .

and , we know that;

sum of interior angles are supplied;

so, X +2X = 180.

= 3X= 180.

= X= 180/3=60...

hence ,the one angle is 60° ...and other one is

2× 60= 120°.

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Answer 2

$\huge\underline{\underline{\boxed{\mathtt{\color{teal}{Correct \: Question:-}}}}}{\color{olive}{\bigstar}}$

• To find pair of angles whose co - interior angles are twice to other angles.

$\huge\underline{\underline{\boxed{\mathtt{\color{teal}{Solution:-}}}}}{\color{olive}{\bigstar}}$

$let \: measure \: of \: angle \: be \: ⟹x$

$let \: measure \: of \: twice \: angle \: be ⟹2x$

$as \: we \: know \: sum \: of \: interior \: angles ⟹180$

$⟹x + 2x = 180$

$3x = 180$

$\frac{\cancel{180°}}{\cancel{30°}}$

$⟹x = 60$

$measure \: of \: two \: angles \: is ⟹2x$

$⟹2 \times 60$

$⟹120$

★ Measure of one angle is 60°

★ Measure of twice angle of co - linear pair is 120°