Question:
In an isosceles trapezoid FACE, angles E and C are base angles. Measure of angle E=(x+10) degrees and measure of angle C=(7x-14) degrees. What is measure of angle C?
Answer:
A property of Isosceles Trapezoid is that it's two base angles are congruent or equal.
From these we can say that,
∠C = ∠E
hence,
7x - 14 = x + 10
solve for x,
7x - 14 = x + 10
7x - x = 10 + 14
6x = 24
x = 24/6
x = 4
solve for ∠C,
∠C = 7x - 14
∠C = 7(4) - 14
∠C = 28 - 14
∠C = 14°
[tex]\therefore \;\large\boxed{\text{\sf Angle C is 14$\sf ^\circ$}}[/tex]
* as always, double check my answers for errors or carelessness.
#No to copy paste solution
#No to plagiarism
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