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 :)
