Answer:
Measure B= 121
Measure C=59
Step-by-step explanation:
10x-19=7x+23
3x=42
x=14
plug in x to the problem and you'll find Measure B is 121 so to find Measure C you'll have to subtract 180 and 121 to get 59.
The value of angle B is 121 degree and Angle C is 59 degree, and Angle D has the same measure as the angle B
It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides. It has one pair of opposite congruent angles.
We have a quadrilateral in which angle B and angle D are given.
As we know the opposite angles in the quadrilateral are same in measure.
10x - 19 = 7x + 23
3x = 42
x = 14
Angle B = 10x - 19 = 10(14) - 19 = 121 degree
Angle C = 7x + 23 = 7(14) + 23 = 121 degree
Angle A + Angle C = 360 - 121 -121 = 118
Angle C = 118/2 = 59
Thus, the value of angle B is 121 degree and Angle C is 59 degree, and Angle D has the same measure as the angle B
Learn more about the quadrilateral here:
brainly.com/question/6321910
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