Question

Among two supplementary angles the measure of the larger angle is 44° more than the measure of the smaller find the measures
Among two supplementary angles the measure of the larger angle is 44° more than the measure of the smaller find the measures

Answer 1

Answer:

★ Smaller Angle = 68° ★

★ 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 supplemantry angles are of 180° ★

$\small\implies{\sf }$ x + (x + 44) = 180°

$\small\implies{\sf }$ 2x + 44 = 180°

$\small\implies{\sf }$ 2x = 180 – 44

$\small\implies{\sf }$ 2x = 136°

$\small\implies{\sf }$ x = 136/2

$\small\implies{\sf }$ 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

Answer 2

Step-by-step explanation:

measure of smaller angle = X

measure of larger angle = X+44

by condition

X+X+44 =180

2X +44 = 180

2X. = 180-44

2X. =136

X =136 / 2

X = 68

smaller angle is 68°

larger anglevis 112°