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Claim: the angles 4 and 6 are complementary angles, so the sum of the two angles will equal 90 degrees.

Measure of angle 4 = 48.46 degrees = approx. 48 degrees

Measure of angle 6 = 41.56 degrees = approx. 42 degrees

m<4 + m<6 = 90 degrees

(3x + 31) + (8x - 5) = 90

11x + 26 = 90

11x = 64

x = 64/11

x = 5.82

m<4 = 3x + 31

m<4 = 3(5.82) + 31

m<4 = 17.46 + 31

m<4 = 48.46

m<6 = 8x - 5

m<6 = 8(5.82) - 5

m<6 = 46.56 - 5

m<6 = 41.56

48.46 + 41.56 = 90.02 = approx. 90 degrees

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step-by-step explanation: