Question

in in the following figure, if a b is a straight line then find the measures of angle AOC and angle BOC

Answer 1

AOC+BOC=180
3x+20+4x-36=180
7x-16=180
x=196/7
×=28

AOC=3x+20
=3(28)+20
=104
BOC=4×-36
=4(28)-36
=76

Answer 2

ab is a straight line then ,
angle AOC +angle BOC =180°
3x +20° +4x -36° =180°
7x - 16° = 180°
7x = 180° + 16°
7x = 196 °
x = 196 ° ÷7
x = 28 °
then
angle AOC = (3x + 20)°
=( 3 ×28 + 20 )°
=( 84 + 20 )°
= 104°
angle BOC = (4x -36)°
= (4 × 28 - 36 )°
= (112 -36)°
= 76 °