answer the question
Answers
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