Question

Find the measure of angle x in the following figures:

pls ans​

Answer 1

Answer:

x will be 6x

Step-by-step explanation:

Answer 2

To find the measure of x, we need to find the Angle TPQ so that we can apply linear pair on it and get the required answer...

=> Angle RST = 180 - 80 (Linear pair)

=> Angle RST = 100 degrees

=> Angle PQR = 180 - 80 (Linear pair)

=> Angle PQR = 100 degrees

Now, we are having measure of all the interior angles of Pentagon PQRST except Angle TPQ

We know that, sum of the interior angles of Pentagon = 540 degrees

=> Angle PQR + Angle QRS + Angle RST + Angle STP + Angle TPQ = 540 degrees

=> 100 + 150 + 100 + 160 + Angle TPQ = 540 degrees

=> Angle TPQ = 540 - 510

=> Angle TPQ = 30 degrees

Now, Applying linear pair..

=> Angle x + Angle TPQ = 180 degrees

=> Angle x = 180 - 30

=> Angle x = 150 degrees