Answered

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An angle measures 48.4° less than the measure of its supplementary angle. What is the measure of each angle?

Sagot :

zarampa

Answer:

65.8° and 114.2°

Step-by-step explanation:

Suplementary angles sum 180°

then:

a + b = 180°   eq 1

a = b - 48.4     eq 2

replacing the value of eq 2 in eq 1:

(b-48.4) + b = 180°

2b - 48.4 = 180°

2b = 180 + 48.4

2b = 228.4

b = 114.2°

from the eq. 1

a = b - 48.4

a = 114.2 - 48.4

a = 65.8°

Check:

114.2° + 65.8° = 180°

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