Question

Use the figure below to complete the following problem. Given: H = 2x + 60 T = x + 30 HALT is a ∠H = 90 120 150

Answer 1

Answer:

∠H = 120

Step-by-step explanation:

See the attached figure

HALT is a parallelogram

So, angles H and T are supplementary.

∠H = 2x + 60  and ∠T = x + 30

∠H + ∠T = 180

∴ 2x + 60 + x + 30 = 180

∴ 3x + 90 = 180

∴ 3x = 180 - 90 = 90

∴ x = 90/3 = 30

So, ∠H = 2x + 60 = 2 * 30 + 60 = 60 + 60 = 120