3 years ago

Please help! Marking brainliest if correct.

Mathematics

2 answers:

katrin2010 [14]3 years ago

7 0

Answer:

110 degrees

Step-by-step explanation:

Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.

cricket20 [7]3 years ago

7 0

Answer:

110°

Step-by-step explanation:

Since CDE and FDG are vertical, they are congruent, so:

5x + 15 = 8x - 42

Solve the equation for x

57 = 3x

19 = x

Then solve for one of the angles (I chose CDE but FDG would also work)

5(19)+15

95 + 15

110

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Naddika [18.5K]

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To find angle 1 , we apply outside angle theorem Lets name each point Measurement of arc EF=280 degrees

Measurement of arc GH = 60

Angle D = angle 1

Please refer to the theorem attached below

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Now we plug in the values

$angle 1 = \frac{280-60}{2}$

angle 1 = 110

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