Question

7. Two opposite angles of a parallelogram are (3x - 2) and (50 - X) . The measures of all it
angles are
(a) 97°, 83°, 97°, 83°
(b) 37°, 143°, 37°, 143°
(c) 76°, 104°, 76°, 104°
(d) none of these
​

Answer 1

The equation becomes...as the opposite angles in a parallelogram are equal.

3x-2 =50-x

3x+x=50+2

4x =52

x =

$\frac{52}{4}$

Therefore ,x=14

Angles are:

3x-2 = 3*14-2 = 42-2 = 40 degrees

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