Answer:
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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