Question

Find the measure of angle x in the figure below:

Answer 1

Answer:

y = 73°

x = 35°

Step-by-step explanation:

1- getting the value of y:

We know that a straight angle has a measure of 180°.

We can note that:

The three angles 51° , 56° and y form a straight angle.

This means that:

51 + 56 + y = 180

107 + y = 180

y = 180 - 107

y = 73°

2- getting the value of x:

Now, in any triangle, the sum of the interior angles must be 180°.

In the given triangle we have:

an angle measuring 72°

an angle y measuring 73°

an angle x that we want to find

Therefore:

72 + 73 + x = 180

145 + x = 180

x = 180 - 145

x = 35°

Hope this helps :)