Respuesta :

Answer: b=101 c=79 d=101


Step-by-step explanation:

since it is a parallelogram opposite angels are congruent a = c ad b=d

because we know a=79 c must equal 79

and because all the angles must add up to 360 add 79+79 = 158

then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101

The measure of angle B is 101 degrees, angle C is 79 degrees, and angle D is 101 degrees and this can be determined by using the properties of a parallelogram.

Given :

  • Parallelogram ABCD.
  • Angle A = 79 degrees

The following steps can be used in order to determine the remaining angles of the parallelogram ABCD:

Step 1 - If ABCD is a parallelogram, then according to the properties of a parallelogram opposite angles are congruent to each other, that is:

[tex]\rm \angle A = \angle C[/tex]

[tex]\rm \angle B = \angle D[/tex]

Step 2 - Now, according to the given data, if angle A is 79 degrees then angle C is also 79 degrees.

Step 3 - The sum of the interior angles of a parallelogram is:

[tex]\rm \angle A +\angle B+\angle C+ \angle D = 360^\circ[/tex]

[tex]\rm 2\angle B + 79 + 79 = 360[/tex]

[tex]\rm 2\angle B = 202[/tex]

[tex]\rm \angle B = 101^\circ[/tex]

Step 4 - The measure of angle D is also 101 degrees.

For more information, refer to the link given below:

https://brainly.com/question/24006277

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