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27 votes
Find the measure of each numbered angle for each figure

Find the measure of each numbered angle for each figure-example-1
User Melihcelik
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1 Answer

11 votes
11 votes

Answer:

Angle 1 is 58. Angle 2 is 32.

Explanation:

The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.

User Michele Bertoli
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