Answer :
If "angle-d is 145 degrees" and "angle c is 66 degrees", then the measure of angle-b is : (a) 79 degrees.
The angle A and angle D, forms a linear-pair, so the measure of angleA and angle D will be 180 degree,
So, We have : 145 + angle A = 180,
angle A = 180 - 145
angle A = 35 degree,
From the figure, we see that the angles of the triangle are Angle A, angle B and angle C, we also know that the measure of the interior-angle of triangles is 180 degree,
So, We have : 35 + angle B + 66 = 180,
angle B = 180 - 66 - 35,
angle B = 180 - 101,
angle B = 79 degree.
Therefore, the measure of angle-B is 79 degree, option (a) is correct.
Learn more about Angle here
https://brainly.com/question/4264350
#SPJ6
