Asecant and a tangent to a circle intersect in a 42-degree angle. the two arcs of the circle intercepted by the secant and the tangent have measures in a 7: 3 ratio. find the measure of the third arc

The measure of the third arc is

Step-by-step  explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

----> equation A

-----> equation B

Substitute equation B in equation A and solve for y

Find the value of x

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

-----> complete circle

substitute the values and solve for z

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

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step-by-step explanation: