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Need a little help does anyone’s know how to do this?
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Need a little help does anyone’s know how to do this?

Need a little help does anyone’s know how to do this?-example-1
User Ryan Silva
by
5.3k points

1 Answer

7 votes

Answer:

106°

Explanation:

Given that the points B, C and D are colinear, it means that

2x + 40 = 5x + 10

collecting like terms

40 - 10 = 5x - 2x

3x = 30

x = 10

Hence the angle ∠E

= 5(10) + 10

= 60°

∠BCE = X + 4

= 10 + 4

= 14°

Given that the sum of angles in a triangle is 180°

∠D + 14 + 60 = 180

∠D = 180 - 74

= 106°

User Yardena
by
5.4k points
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