if angle a is 60° and angle c is 30°what is the measurement of angle b ?
Accepted Solution
A:
Answer:m∠B = 90°Step-by-step explanation:Note that the figure given to you is a triangle, which has 3 angles, and the total measurement of 3 angles is = 180°.Let m∠B = x m∠A = 60° m∠C = 30°Set the equation: m∠A + m∠B + m∠C = 180°Plug in the corresponding numbers to the corresponding variables: 60 + x + 30 = 180Isolate the variable, x. Combine like terms: x + (60 + 30) = 180x + (90) = 180Isolate the variable, x. Subtract 90 from both sides: x + 90 (-90) = 180 (-90)x = 180 - 90x = 90m∠B = 90°