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°
Accepted Solution
A:
Answer:m∠MHJ = 50°========================Step-by-step explanation:Best explanation is as shown in the attached figure.As shown in the figure:x + 15 = 2x - 20 ⇒ vertex angles are congruentsolve for x ⇒ ∴ x = 35°So, ∠MHJ = 2x - 20 = 2*35 - 20 = 50°========================================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°