Question

Two intersecting lines PQ and RS meet at X. angle PXR = 120° and angle SXT = 70°. Find
all the other angles in the figure.​

Answer 1

Answer:

PQ is a straight line so

PQ+angle 2 =180

120+angle 2=180

angle 2=60°

angle 2=angle 1 (vertical opposite angle)

angle1=60°

angle3+70°=120°. (vertical opposite angle)

angle3=120-70

angle3=50°

Answer 2

Answer:

<PXS = 60°, <TXQ = 50°, <RXQ = 60°

Step-by-step explanation:

RS is a straight line

<X + <1 = 180° ; <1 = 60°

PQ is straight line

<1 + 70° + <3 = 180° and <1 = 60°

so <3 = 50°

total angle = 360°

so <X + <1 + 70° + <3 + <2 = 360°

by substituting values, we get <2 = 60°

<PXS is <1

<TXQ is <3

<RXQ is <2