Question

please answer it's urgent Please don't joke, this is very urgent please answer with full explanation. full answer is angle BOD = angle AOC = 69°; angle AOD = angle BOC= 111°. I want explanation that's why I'm asking.

Q - Two straight lines intersect each other at O. The measure of two adjacent supplementary angles are given in terms of x. Find the measure of the vertically opposite angles thus formed in degrees.​

Answer 1

$When two lines intersect, the adjacent angles are supplementary. This statement is true. Adjacent angles are said to be supplementary if their degrees of angle sum up to 180°. When any two lines intersect, the adjacent angles together form a straight line, and a straight line always has an angle of 180°.$

Answer 2

Angle BOA is a supplementary angle whose sum will be 180°.

There are 2 angles angle x and x+42° in that BOA.

So,x+x+42=180

2x=180-42

2x=138

x=138÷2

x=69

So,angle BOD is 69°

the angles AOC will also be 69° as it's vertically opposite to angle BOD.

Angle AOD is x+42

so,it will be 69+42

=111°

Angle AOD=BOC=111°

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