Please help me find the value of x in this picture

Given:

m∠D = 5x - 10

m(ar EC) = 60°

m(ar RB) = 13x + 7

To find:

The value of x.

Solution:

If two secants intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Multiply by 2 on both sides.

Add 53 on both sides, we get

Subtract 10x on both sides, we get

Divide by 3 on both sides, we get

The value of x is 11.

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step-by-step explanatio89

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step-by-step explanation: