Question

If one pair of opposite angles of a cyclic quadrilateral are of measure 2x + 15° and

3x + 15°, find the value of x and measurement of

each angle of this opposite pair. (In cyclic

quadrilateral, sum of opposite angles is 180°)​

Answer 1

Answer:

2x+15+3x+15=180

=5x+30=180

5x=180-30=150

x=150/5

=30

angle at one vertex=

$2x + 15$

$give \: \:30 \: to \: x$

i.e

$2 \times 30 + 15 = 75$

angle at opposite vertex=

$3x + 15 \\ i.e \: 3 \times 30 + 15 = 105$

Answer 2

Answer:

equation is = 2x+15 +3x+15= 180

both 15 will cut

2x+3x=180

5x=180

x=180/5

x=30