ABCD is an isosceles trapezoid with AD II BC, mZB = 60°, and mZC = (3x +15) Solve for x.
2 answers:
Answer:
A 15
Step-by-step explanation:
In an isosceles trapezoid, each pair of base angles is congruent.
In this isosceles trapezoid, angles B and C are congruent, so their measures are equal.
m<B = m<C
60 = 3x + 15
Subtract 15 from both sides.
45 = 3x
Divide both sides by 3.
15 = x
x = 15
Answer: The correct option is (A) 15.
Step-by-step explanation: As shown in the attached figure below, ABCD is an isosceles trapezoid with AD parallel to BC.
Also, m∠B = 60° and ∠C = (3x +15)°.
We are to find the value of x.
Since ABCD is an isosceles trapezoid with AB and CD as the two legs, so we have
Thus, the required value of x is 15.
Option (A) is CORRECT.
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