Question

2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees.

What is mAngleMHJ?

35°
50°
72.5°
92.5°

Answer 1

B 50 degrees

Explanation:

Answer 2

m∠MHJ = 50°

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Explanation:

Best explanation is as shown in the attached figure.

As shown in the figure:

x + 15 = 2x - 20 ⇒ vertex angles are congruent

solve for x ⇒ ∴ x = 35°

So, ∠MHJ = 2x - 20 = 2*35 - 20 = 50°

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The measure of all angles will be:

∠MHJ = 2X - 20° = 2 * 35 - 20 = 50°

∠JHK = 180° - ∠MHJ = 180 - 50 = 130°

∠KHL = X + 15° = 35° + 15° = 50°

∠LHM = ∠JHK = 130°