Question

3. Among two supplementary angles, the measure of the larger angle is 36° more than to
measure of the smaller. Find their measures​

Answer 1

☆ Given :

• The measure of the larger angle among supplementary angle is 36 more than the smaller angle.

☆ To find :

• The measures of the angles.

☆ Solution :

Let the smaller angle be x°

Thus, the larger angle will be x + 36°

Now,

We know that,

★Sum of supplementary angles = 180° ★

According to Question,

⇝ x + 36 + x = 180

⇝ x + x = 180 - 36

⇝ 2x = 144

⇝ x = 144/2

⇝ x = 72

Therefore,

• The smaller angle (x) = 72°
• The larger angle (x + 36) = 72+36 = 108°

Check :

Sum of supplementary angles = 180° (we know)

→ x + 36 + x = 180

Putting the value,

↣ 72 + 36 + 72 = 180

↣ 108 + 72 = 180

↣ 180° = 180°

Hence, both sides are equal. Thus, Checked !!

Answer 2

Answer:

$\huge\mathcal{\green{Hola!}}$

$\huge\mathfrak{\red{Answer}}$

• Larger angle is 108°

• Smaller angle is 72°

Explanation:

Given:-

• Two supplementary angles

• The larger angle is 36° more than the smaller angle

To find:-

• Measures of the angles

Solution:-

Let the smaller angle be x°

$\huge\mathcal{\green{Therefore,}}$

larger angle is x+36°

$\huge\tt{\green{Now,}}$

/ 1 + / 2 = 180° [given that the sum of angles is 180°(supplementary)]

=> x + x+36° = 180°

=> 2x = (180-36)°

$= > x = \frac{144}{2}$

$\huge\fbox{\green{x \ = \ 72°}}$

$\huge\bf{\purple{And,}}$

The larger angle is x+36° = 72° +36° = 108°

Verification:-

As they are supplementary, their sum must be 180°

That is,

Larger angle + smaller angle = 180°

108° + 72 = 180°

=> 180° = 180°

Therefore, verified.

$\huge\mathcal{\green{All \ the \ very \ best!}}$

$\huge\mathfrak{\red{@MissTranquil}}$

$\huge\fbox{\orange{be \ brainly}}$