Question

ABCD 4a parallelogram if _A = 3x - 10° and C = x+80°. Find the value of x
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Answer 1

Answer:

ⓗⓔⓨ ⓕⓡⓘⓔⓝⓓ

ⓗⓔⓡⓔ ⓘⓢ ⓨⓞⓤⓡ

ⓐⓝⓢⓦⓔⓡ

⊙ We know that in a parralelogram Opposite sides are equal.

so ,

(3x - 10) = (x - 80)(3x−10)=(x−80)

3x - x = - 80 + 103x−x=−80+10

2x = - 702x=−70

x = \frac{ - 70}{2} = - 35x=

2

−70

=−35

so, the two angles are

3x - 10 = 3 \times - 35 - 10 = - 115degree3x−10=3×−35−10=−115degree

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Answer 2

_A = 3x - 10°

_C:- x+80⁰

In parallelogram opposite angles are equal

so _A = _C

3x-10⁰ = x+80⁰

3x-x = 80⁰ + 10⁰

2x =90⁰

x= 90⁰/2

x=45⁰

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