Question

7. In the figure, PQ | RS. Find the value of x.
(Hint: ZPBA = 75°)​

Answer 1

Answer:

x will be 75°

Step-by-step explanation:

follow me please......................

Answer 2

Answer:

x = 75°

Solution:

( PQ || RS, so, x and ∠PBA are alternate interior angles. )

➞ x = ∠PBA

➞ x = 75°

Measure of angle x is 75°

Alternate Solution:

➞ ∠ACB + ∠ACN = 180° ( linear pair)

➞ ∠ACB + 130° = 180°

➞ ∠ACB = 180° - 130°

➞ ∠ACB = 50°

x, ∠ABC and ∠ACB are angles of the ΔABC

➞ x + ∠ABC + ∠ACB = 180°

➞ x + 55° + 50° = 180°

➞ x + 105° = 180°

➞ x = 180° - 105°

➞ x = 75°