Answer:
m∠A = 45⁰
m∠B = 75⁰
Step-by-step explanation:
Given question 4;
m∠A = x + 51
m∠B = 81 + x
m∠C = 60⁰
The value of the missing angles can be determined by the finding the value of x first;
m∠A + m∠B + m∠C = 180⁰ (sum of angles in a triangle)
(x + 51) + (81 + x) + 60⁰ = 180
(x + x) + (51 + 81 + 60) = 180
2x + 192 = 180
2x = 180 - 192
2x = -12
x = -12/2
x = -6
Thus, the values of the angles are calculated as follows;
m∠A = x + 51
= -6 + 51
= 45⁰
m∠B = 81 + x
= 81 - 6
= 75⁰
