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sergeinik [125]
3 years ago
5

Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find

the measure of both angles.
Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

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