Question

Enter the number that belongs in the green box

Answer 1

x=96°

y=96°

Explanation:

y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles

360°-(84°+84°)=192°

divide 192° by 2 to get the measure of one angle

therefore, x=96°

Answer 2

x = 96 and y = 84

Explanation:

Given

A Point

Angles x,y and 84 degrees

Required

Find x and y

First, we should note that angle x and 84 degrees are supplementary.

Two angles are said to be supplementary if they add up to 180 degrees

i.e. x + 84 = 180

x + 84 = 180

Make x the subject of formula

x = 180 - 84

x = 96

In the similar vein, angle x and y are supplementary.

so, x + y = 180

Substitute 96 for x

So, we have

96 + y = 180

make y the subject of formula

y = 180 - 96

y = 84

Hence, x = 96 and y = 84