Question

Find the value of x in the given figure.​

Answer 1

Answer:

x=150

Because

100+x =p

P=80

50+30 +x=180

X=150

Answer is 150

Step-by-step explanation:

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Answer 2

☆Question:

Find the value of"x" in given figure.

☆Answer:

In ∆PRS,

∠PRS=100° (from above figure)

∠RQS=∠PQX=100° (vertically opposite angles are equal)

then, sum of all angles of ∆PRS is 180°.

∴∠PRS+∠RQS+∠QRS=180° (∵sum of all angles of triangle is 180°)

∴50°+100°+∠QRS=180°

∴∠QRS=180°-100°-50°

∴∠QRS=30°

∵we find the ∠QST=x,

then,∠PSR+∠QST=180° (∵Sum of liners pair is 180°)

∴30°+∠PST=180°

∴∠PST=180°-30°

∴∠PST=150°

Hence,∠QST=x is 150°