NOT GRADED.
FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.

m∠B = 44°

Step-by-step explanation:

∑ of all angles in a triangle = 180°.

Note that m∠C = 90° (based on the definition of a right angle).

Note that m∠A = 46° (given).

Set the equation:

Total (180) = 90 + 46 + m∠B

Isolate the term, m∠B. First, simplify. Combine like terms:

180 = (90 + 46) + m∠B

m∠B + (136) = 180

Next, note the equal sign, what you do to one side, you do to the other. Subtract 136 from both sides:

m∠B + 136 (-136) = 180 (-136)

m∠B = 180 - 136

m∠B = 44°

44° is the measurement of the indicated angle B.

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step-by-step explanation: