Question

2. Zx and Zy are supplementary angles. ZX:ZY=1:11, then find LX and ZY​

Answer 1

Correct Question:

∠x and ∠y are supplementary angles. ∠x : ∠y = 1:11, then find ∠x and ∠y

Answer:

∠x = 15° and ∠y = 165°

Given:

• ∠x and ∠y are supplementary angles.
• ∠x : ∠y = 1 : 11

To Find:

• Measure of ∠x and ∠y.

Solution:

∠x : ∠y = 1 : 11

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$\rm \implies \dfrac{\angle x}{\angle y} = \dfrac{1}{11}$

$\rm \: \implies \: 11\angle x = \angle y \: {\bf{...(1)}}$

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If angle x and angle y are supplementary, then their sum should be 180°.

$\rm\implies\angle x + \angle y = {180}^{\circ}$

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From ( 1 )

$\rm\implies\angle x +11 \angle x = {180}^{\circ}$

$\rm\implies12\angle x = {180}^{\circ}$

$\rm\implies\angle x = \dfrac{{180}^{\circ} }{12}$

$\rm\implies\angle x = {15}^{\circ}$

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➞ ∠x = 15°

➞ ∠y = 11∠x = 11× 15° = 165°

∠x = 15° and ∠y = 165°