Find x in Triangle ABC: Given Angles 111° and 60°

Question

Calculate the value of x x .

111°111°111°AAABBBCCC60°x

Video Solution

Solution Steps

00:00 Find X
00:06 Supplementary angle to 180
00:16 Sum of angles in a triangle equals 180
00:25 Collect terms and isolate X
00:42 And this is the solution to the question

Step-by-Step Solution

Remember that a straight angle is equal to 180 degrees.

Therefore, we can work out that the angle measuring 111° and angle ACB form a straight angle.

Now let's calculate angle ACB as follows:

ACB=180111 ACB=180-111

ACB=69 ACB=69

Then we can calculate x x .

Remember that the sum of angles in a triangle is equal to 180 degrees, therefore:

X=1806960 X=180-69-60

X=51 X=51

Answer

51