Question

find the measure of angle x, y and Z in the following figure​

Answer 1

Answer:

for z--->. the complete line ST should be 180°.

so z = 180° -65° = 115°.

then the in triangle SQR , the sum of all angle should be 180°.

So. , <QSR + z + 28° = 180°

<QSR + 115° + 28° = 180°

<QSR = 47°.

Now angle PSR should be 90° .

So ,. y + < QSR = 90°

y = 43°.

Now in triangle PQS , sum of all angle's must be 180°.

So ,. 90° + y + x = 180°

X = 47°