Question

Find angle x and its supplement.

a. 18 ° , 162 °
b. 18 °, 97 °
c. 20 °, 152 °
d. 20 °, 162 °​

Answer 1

Answer:

(a) 18°, 162°

Step-by-step explanation:

Instead of calculating the value of 'x' in the given question, you can look at the options and find out your answer. However, this is only applicable if it is an MCQ question only. Keep that in mind.

Let me show you how.

Option A:

Look at Option A.

We know that the sum of 2 angles that are supplementary to each other always equals 180°.

So, the sum of 2 angles is always 180°.

Add the 2 given angles in Option A.

18° + 162° = 180°

Since the sum is 180°, we can consider this.

Option B:

Now, look at Option B.

Apply the same logic which was used in Option A.

18° + 97° = 115°, which is clearly not equal to 180°.

So, discard Option B.

Option C:

Now, look at Option C.

Apply the same logic which was used in Option A.

20° + 152° = 172°, which is clearly not equal to 180°.

So, discard Option C.

Option D:

Now, look at Option C.

Apply the same logic which was used in Option A.

20° + 152° = 172°, which is clearly not equal to 180°.

So, discard Option C.

Since Option A is the only Option that is valid, tick Option A.