Question

I reallY need help with these problems. if somebody could give me the answers that would be great

Answer 1

∠AMC = 75

Explanation:

ΔABC,

∠C = 90° ; ∠B = 30°

∠A + ∠B +∠C = 180 {Angle sum property of triangle}

∠A + 30 + 90 = 180

∠A + 120 = 180

∠A = 180 - 120

∠A = 60°

In ΔACM,

∠ACM = 90/2 = 45° { CM is angle bisector}

∠ACM + ∠AMC +∠A = 180 {angle sum property}

45 + ∠AMC + 60 = 180

∠AMC + 105 = 180

∠AMC = 180 - 105

∠AMC = 75