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Find the value of d using the angle relationships shown in the diagram to find the value of d

Find the value of d using the angle relationships shown in the diagram to find the-example-1
User Leviathan
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1 Answer

17 votes
17 votes

Angles

We have completed the figure to show a new variable:

The angle of 158° and angle k form a line, so these angles are complementary, i.e., they add up to 180°:

158° + k = 180°

Solving for k:

k = 22°

Now we know the value of k, we observe that there are four d's, 38°, and k that add up to 180°:

4d + 38° + 22° = 180°

Simplifying:

4d + 60° = 180°

Subtracting 60°

4d = 120°

Thus:

d = 120/4

d = 30°

Find the value of d using the angle relationships shown in the diagram to find the-example-1
User Rzassar
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3.0k points