Question

An angle of a parallelogram measures 70 degree. find the measures of the remaining three angles?
please need urgently this qus
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Answer 1

Answer:

one angle 70 and the other 2 110

Step-by-step explanation:

as we know opposite angles of parallelogram are equal so one is 70

then we know adjacent angles of parallelogram's sum is 180 so

180-70 =110

and the other also 110 as we said in first case

Answer 2

SOLUTION:-

$\bf\underline{\underline{\red{Question}}}$

⠀⠀⠀⠀⠀• An angle of a parallelogram measures ⠀⠀⠀⠀⠀70 degree find the measures of the ⠀⠀⠀⠀⠀remaining three angles?

$\bf\underline{\underline{\orange{Answer:-}}}$

⠀⠀⠀⠀⠀• ∠A= 70°

⠀⠀⠀⠀⠀•∠B= 110°

⠀⠀⠀⠀⠀•∠C= 70°

⠀⠀⠀⠀⠀• ∠D = 110°

$\bf\underline{\underline{\blue{Given:-}}}$

⠀⠀⠀⠀⠀• An angle is 70°

$\bf\underline{\underline{\green{To\:Calculate:-}}}$

⠀⠀⠀⠀⠀• All Three angles __?

$\bf\underline{\underline{\purple {Explanation:-}}}$

Let the angles of llgm be ∠A+∠B+∠C+∠D

We know that ,

Sum of all angles of llgm is 360°

And

The opposite angles of llgm are equal

So,

∠ A = ∠C = 70°

${\boxed{\blue{\tt{∠C= 70° }}}}$

Let us suppose Other pairs of Opposite Angles be X

We know that,

∠A+∠B+∠C+∠D = 360

⟹ 70+x+70+x= 360

⟹ 2x+140=360°

⟹ 2x= 360-140

⟹ 2x= 220

⟹ x= 220/2

⟹ x= 110

$\bf\underline{\underline{\red{Hence:-}}}$

⠀⠀⠀⠀⠀• ∠A= 70°

⠀⠀⠀⠀⠀•∠B= 110°

⠀⠀⠀⠀⠀•∠C= 70°

⠀⠀⠀⠀⠀• ∠D = 110°

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