Question

In the given figure, PQ || RS and angle ACS =127°, angle BAC is:​

Answer 1

Answer:

77 degree

Should be the right answer as angle ACS + angle CAQ =180 degree . therefore angle CAQ is equal to 53 degree. so angle p a q + angle bac + c a q equals to 180 degree.as they are linear pair and thus BAC is 77 degrees

explaination:- hope it helps have a great day ahead

Answer 2

Given:

Angle ACS=127°

To find:

Angle BAC

Solution:

The required measure of angle BAC=77°.

We can obtain the angle' measure by equating the angles that are interior and opposite in the figure.

Since PQ || RS, the angles ACS and PAC must be of equal measure.

So, angle ACS=angle PAC.

Now, angle PAC is made up of angle PAB+BAC.

Angle PAB+ angle BAC=angle ACS

Using values,

50°+angle BAC=127°

angle BAC=127°-50°

Angle BAC=77°

Therefore, the required measure of angle BAC=77°.