Question

Find the measure of two supplementary angles if the diffrence in measure of the two angles is 24

Answer 1

Answer:

The measure of two supplementary angles are $102^{\circ} \text { and } 78^{\circ}$

Solution:

Given that the difference of measure of the two angles is 24

Let the first angle be x and the second angle be x-24. We know when two angles are supplementary their sum is equal to $180^{\circ}$

Now since x and (x-24) are two supplementary angles, therefore their sum will be equal to $180^{\circ}$

x+(x-24) = 180

2x-24=180

2x= 180+24  

2x = 204

$x = \frac{204}{2}$

$\mathrm{x}=102^{\circ}$

The first angle is $102^{\circ}$

The second angle is (x – 24) so we get (102 - 24) = 78

Hence the measure of two supplementary angles are $102^{\circ} \text { and } 78^{\circ}$

Answer 2

Answer:

the two angles are 78 and 102 degrees

Step-by-step explanation:

included in the picture is the explanation. Use simultaneous equation to solve. hope this helps :)