16 - 20: Problem Solving Solve the problem below by showing the complete parts of your solution which includes the following parts: C. Given: c. Solution e. Interpretation/ Conclusion: d. What is asked: d. Final answer D E Problem: (5pts) (x+40) 130° If the angle measures of trapezoid DEFG is 130°, x°, (x+40)° and (2x – 10)º respectively, solve for the value of x? (2x - 10) to •F
Answers & Comments
Answer:
Asked: What is x?
Given: 130 degrees, x degrees, (x+40), (2x-10)
Interpretation: Right angle has always have 90 degrees.
Since angle D and angle G is a Right angle
their measurement should be 90 degrees each.
The sum of all the angles of a Quadrilateral is always 360 degrees
Solution:
angle D:
(x+40) = 90 degrees
(50+40) = 90 degrees
angle G:
(2x-10) = 90 degrees
(50*2) = 100 degrees
100 - 10 = 90 degrees
angle E: 130 degrees
(x+40) + (2x-10) + 130 degrees + x = 360 degrees
(50+40) + ((50*2)-10) + 130 + 50 = 360 degrees
90 + 90 + 130 +50 = 360 degrees
Final Answer: x is 50 degrees
Step-by-step explanation:
Hope it helps
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