Question

Use the given information to find m

Answer 1

Step-1: Find ∠C.

• 180 - 124 = ∠C
• 56° = ∠C

Step-2: Find x.

• 56 + 2x + x + 31 = 180
• => 56 + 3x + 31 = 180
• => 87 + 3x = 180
• => 3x = 93
• => x = 31

Step-3: Find ∠A.

• 2(x) = ∠A
• => 62° = ∠A

Answer 2

m∠A = 62°

Step-by-step explanation:

as angle ∠D and ∠C lies on a straight line, they will sum up to 180°

given ∠D: 124°

• solve for ∠C: 180° - 124° = 56°

now, the total sum of interior angles in a triangle is 180°

• ∠A + ∠B + ∠C = 180°

• 2x + x + 31° + 56° = 180°

• 3x + 87° = 180°

• 3x = 180° - 87°

• 3x = 93°

• x = 31°

solve for m∠A:

• 2x

• 2(31)

• 62°