Equations:
x + y = 26
x - y = 4
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Add to get:
2x = 30
x = 15
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Solve for "y":
x + y = 26
15 + y = 26
y = 11 (smaller number)
Answer: The answer is 147° and 33°.
Step-by-step explanation: We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.
Also, given that
∠ABE = (5y - 18)°.
We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.
That is,
Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.
That is
Adding equations (i) and (ii), we get
and from equation (ii), we get
Thus, x° = 147° and y° = 33°.
Looks like 49 and w complete the 77 angle
77-49 = w
W= 28