Question

Please help I don’t know how to solve this.

Answer 1

• x = 40

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The angle formed by two secants is half the difference of the intercepted arc measures:

• m∠T = (1/2)(mPQ - mSR)

Substitute values and solve for x:

• x/2 = (1/2)(x + 70 - x - 30)
• x/2 = (1/2)(40)
• x = 40