2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the

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2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the

top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°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°

Mathematics

1 answer:

Svet_ta [12.7K] · Answer 1 · 2026-04-09T20:15:51+03:00

Answer:

Step-by-step explanation:

a) The total of angles on the straight line TRW equals 180 degrees.

We have <TRS = 2x+10

<SRW = x-10

The equation <TRS + <SRW gives us 180

2x+10 + x-10 = 180

3x = 180

Dividing by 3 results in x = 180/3

Thus, x = 60°

<TRV = 180° - (2x+10)

Now substitute x = 60° back into the formula

<TRV = 180 - (2(60) + 10)

<TRV = 180 - (120 + 10)

<TRV = 180 - 130

<TRV = 50°

2) Referring to the attached diagram <MHJ = <LHK (angles that are opposite)

Provided

<MHJ = x + 15

<LHK = 2x - 20

Substituting the values into the equation gives us x

x + 15 = 2x - 20

x - 2x = -15 - 20

-x = -35

Therefore, x = 35°

Next, we calculate the angle <MHJ

<MHJ = x + 15

<MHJ = 35 + 15

<MHJ = 50°