Question

Help me please

Find the value of x

Answer 1

The answer is 18°, but please read the explanation so you can solve this problem in the future.

Explanation:

To find the angle of x, we have to look at the angles in the first quadrant (in which the lines C and D are) first. To begin, a right angle is 90°. We see that there are two angles of 32° within the right angle (90°). Let's find the sum of 32 and 32.

32 + 32 = 64

Now, we can subtract 64° from 90° to find the angle of CD.

90 - 64 = 26

The angle between C and D is 26°.

If we look below at lines G and F, we can see that they are directly across from lines C and D, so they have the same angles. The arrow pointing to the angle of GF, which we know is 26°, says that x + 8° = 26°. To find x, let's subtract 8 from 26.

26 - 8 = 18

x = 18°

Answer 2

x = 18 !

Explanation:

We can see that ∠CHD is equal to ∠GHF as they are vertically opposite angles. We can also see that the angles next to ∠CHD should all add up to 90° as it is a right angle!

This means that we have to add 32 and 32 then minus that from 90...

• 32 + 32 = 64
• 90 - 64 = 26

As the angle is the same we are now left with...

• x + 8 = 26

We just have to solve this by taking away 8 from both sides!

• x + 8 - 8 = x
• 26 - 8 = 18
• x = 18

Hope this helps, have a lovely day! :)