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kherson [118]
3 years ago
7

Can someone please help me with this question?

Mathematics
2 answers:
blondinia [14]3 years ago
6 0

Answer:

Step-by-step explanation:

In a parallelogram, the opposite sides are equal and parallel.

The opposite angle of a parallelogram are equal. The consecutive angles of a parallelogram are supplementary. This means that their sum is 180 degrees. Since the two supplementary angles are (3x + 10) degrees and (x - 30) degrees, it means that

3x + 10 + x - 30 = 180

3x + x = 180 - 10 + 30

4x = 200

x = 200/4 = 50

The measure of one angle is

x - 30 = 50 - 30 = 20 degrees

The measure of the other angle is

3x + 10 = 3 × 50 + 10 = 160 degrees

Masja [62]3 years ago
4 0

Answer:

x = 50°

Step-by-step explanation:

3x + 10 + x - 30 = 180

4x-20= 180

4x=180+20

x= 200/4

x= 50

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