Question

Among two supplementary angles the measures of the larger angle is 55° more than the measure of the smaller. Find there measures.​

Answer 1

Answer:

Let the smaller angle be x and the larger angle be x+55

now, supplementary angles implies that

x + (x+55) = 180

2x = 125

x = 62.5

Therefore the angles are 62.5 degree and 117.5 degree.

Step-by-step explanation:

please mark as brainliest

Answer 2

$\huge \colorbox{red}{Solution}$

★ Large Angle = 112° ★

Step-by-step explanation:

Given:

Among two supplemantry angles measure of larger angle is 44° more than the smaller angle.

To Find:

What are the measures of two angles?

Solution: Let the smaller angle be x°

∴ Larger angle = x + 44°

★ We know that the measure of supplementary angles are of 180° ★

⟹ x + (x + 44) = 180°

⟹ 2x + 44 = 180°

⟹ 2x = 180 – 44

⟹ 2x = 136°

⟹ x = 136/2

⟹ x = 68°

Hence, Measure of smaller angle = x = 68° and measure of larger angle = x + 44 = 68 + 44 = 112°

____________________________

★ Check ★

→ Smaller angle + Larger angle = 180°

→ 68 + 112 = 180

→ 180° = 180° LHS = RHS