SOLUTION: ABCD is an isosceles trapezoid (named counterclockwise) with median XY and diagonals AC and BD. If the measurement of angle DAB=2x-10 and the measurement of angle ADC is 3x+40, wha

Question 1191341: ABCD is an isosceles trapezoid (named counterclockwise) with median XY and diagonals AC and BD. If the measurement of angle DAB=2x-10 and the measurement of angle ADC is 3x+40, what is the measurement lf angle CBA
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

First,  angle A plus angle D is 180 degrees,  or


    (2x-10) + (3x + 40) = 180

           5x           = 180 + 10 - 40 = 150

            x           = 150/5 = 30,

Hence,  angle A is 2x-10 = 2*30-10 = 50  degrees.


Angle B (which is CBA) is congruent to angle A;  so, angle CBA is 50 degrees.    ANSWER

Solved.

The median XY is irrelevant to the problem.

The diagonals AC and BD are irrelevant, too.

RELATED QUESTIONS
ABCD is an isosceles trapezoid with AB as its longest side O divides the diagonals AC and (answered by Edwin McCravy)

Given isosceles trapezoid ABCD, find the following. An isosceles trapezoid is given.... (answered by Solver92311)

ABCD is an isosceles trapezoid with bases AB̅̅̅̅ and DC̅̅̅̅, and median... (answered by greenestamps)

given trapezoid abcd with diagonals ac and bd intercept at point e prove triangle dec is... (answered by solver91311)

Given isosceles trapezoid ABCD, find the following. AC (in cm), if BD = 15.2 cm AC = ?... (answered by Solver92311)

ABCD is a rectangle. what is the length of the diagonals if AC= 3y/5 and BD=... (answered by ewatrrr)

Analyze the diagram below and complete the instructions that follow.... (answered by MathLover1)

Trapezoid ABCD has parallel sides AB and CD, of lengths 8 and 16, respectively.... (answered by ikleyn)

ABCD is an isosceles trapezoid with bases AB̅̅̅̅ and DC̅̅̅̅, and median... (answered by greenestamps)