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If angle d = 145 degrees and angle c = 66 degrees, what is the measure of angle b?



a. 79 degrees

b. 78 degrees

c. 211 degrees

d. 75 degrees

If angle d 145 degrees and angle c 66 degrees what is the measure of angle b a 79 degrees b 78 degrees c 211

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.

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Rewritten by : Barada

A- 79 degrees

d+a = 180
a+b+c =180