SOLUTION: In parallelogram ABCD if angle A = 5x+30, and m angle D = x, find m angle C.
Algebra.Com
Question 145657: In parallelogram ABCD if angle A = 5x+30, and m angle D = x, find m angle C.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The interior angles of the parallelogram equal 360 degrees.
Also, the oppposite angles are equal.
Angle A = Angle C
Angle B = Angle D
The sum of the angles is 360.
Substitute for B and C.
Simplify.
Divide by 2.
Substitute for A and D.
Simplify.
Solve for x.
Solve for A and C.
Angle A = Angle C = 155 degrees
Angle B = Angle D = 25 degrees
RELATED QUESTIONS
In parallelogram ABCD, if the measure of angle A is 5x+30, and the measure of angle D is... (answered by Theo)
in parallelogram abcd, if angle A = 50 find angle... (answered by solver91311)
in the accompanying diagram of parallelogram ABCD, m angle B=5x, and m angle c=2x+12.... (answered by lynnlo)
. In a parallelogram ABCD the m⦟A (measure of angle A) = 8x - 10 and m⦟B =... (answered by Zucchini)
In parallelogram ABCD, angle A=x degrees and angle B=(3x) degrees.
Find m (answered by jim_thompson5910)
if ABCD is a parallelogram the angle D = X and angle A =(4x+5),find the value of... (answered by Fombitz)
Assume quadrilateral ABCD is inscribed in a circle. If {{{m (answered by ikleyn)
Find the value of each variable that will allow you to prove that ABCD is a... (answered by edjones)
ABCD is a parallelogram. Given that m∠A=2x3 and m∠C=x2+15, find the measure... (answered by ikleyn)