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19 votes
EH is a diameter of D. The measure of ef is (10x+ 8) and the measure of gh is (11x). Determine the values

User Mantoska
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1 Answer

20 votes
20 votes

Answer:

x = 5

arcEF = 58degrees

arcGH = 55degrees

Explanation:

Find the diagram attached

The sum of angle on the straight line EH is 180degrees

Hence arcEF+ arcFG + arcGH = 180

10x+8 + 67 + 11x = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105/21

x = 5

Since EF = 10x+8

arcEF = 10(5) + 8

arcEF = 50+8

arcEF = 58degrees

Also, arcGH = 11x

arcGH = 11(5)

arcGH = 55degrees

EH is a diameter of D. The measure of ef is (10x+ 8) and the measure of gh is (11x-example-1
User Yong Ho
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