Question

answer the question​

Answer 1

Answer:

The answer is

• Angle ABC = 70 degrees
• Angle BAC = 100 degrees
• Angle CAQ = 10 degrees

Step-by-step explanation:

To find the angles asked in the question

PQ is parallel to RS(given)

Angle ACS = 100 degrees(given)

Angle PAB = 70 degrees(given)

Step 1 = CASE - 1

As we know that PQ is parallel to RS(given) and AB is the transversal of PQ and RS(given in the figure)

Angle PAB = Angle ABC

                  = 70 degrees(alternate interior angles)

Step 2 = CASE - 2

As we know that PQ is parallel to RS(given) and AC is the transversal of PQ and RS(given in the figure)

Angle ACS = Angle BAC

                  = 100 degrees(alternate interior angles)

Step 3 = CASE - 3

PAQ is a straight line[180 degrees] and two rays(AB and AC) are standing on the straight line[PAQ]

Angle PAB + Angle BAC + Angle CAQ = 180 degrees

70 + 100 + Angle CAQ = 180 degrees

Angle CAQ = 180 - 170

                  = 10 degrees