Answer:
First, draw a quadrilateral figure QRST. Then, label angles RST, QST, and QSR.
Given:
mRST = 65
mQST = 2x
mQSR = 3x - 10
From the figure, angle RST is the sum of angles QST and QSR. Therefore:
mRST = mQST + mQSR
Substituting the values, the equation becomes:
65 = 2x + (3x -10)
Solve for x:
x = 15
Second awnser :
Upon drawing the triangles given, it may be observed that they share one common side, ST. Hence, m QSR is the sum of m RST and m QST. Mathematically,
3x - 10 = 65 + 2x
The value of x from the equation generated above is 75. Thus, the answer to the question above is 75.
Hope i got it
