Question

among two supplementary angles the measure of the larger angles is 44 degrees more than the measure of the smaller . find their measures

Answer 1

GIVEN:

• Among two supplementary angles the measure of the larger angles is 44 degrees more than the measure of the smaller.

TO FIND:

• What is the measure of each angle ?

SOLUTION:

Let the larger angle be x + 44

and,

smaller angle be x

According to given conditions:-

• （Larger angle + smaller angle = 180°）

We know that the sum of supplementary angles is 180°

According to question:-

$\rm{\hookrightarrow 180 = x + x + 44 }$

$\rm{\hookrightarrow 180 = 2x + 44 }$

$\rm{\hookrightarrow 180-44 = 2x }$

$\rm{\hookrightarrow 136 = 2x }$

$\rm{\hookrightarrow \cancel\dfrac{136}{2} = x }$

$\bf{\hookrightarrow 68 = x }$

• Larger angle = x + 44 = 68+44 = 112°
• Smaller angle = x = 68°

❝ Hence, the measure of each angle is 68° and 112° ❞

______________________

Answer 2

Answer:

$\huge\bold\star\red{Answer}$

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Given:-

• Between two suppleamentary angle,the larger angle is 44°greater than the smaller one

To find:-

• Measure of the angles

Solution:-

Let,the smaller angle be x

•°•the larger angle will be (x+44)°

According to the Q,

x+(x+44)=180

➨2x+44=180

➨2x=180-44

➨2x=136

➨x=68[dividing by 2]

⛬measure of smaller angle is 68°

⛬measure of larger angle is (68+44)°

=112°

Verification:-

112°+68°=180°

•°•Angle of 112° and 68° are suppleamentary angle.

Additional Information:-

• Sum of which pair of angles is 180° is called suppleamentary angle.

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