We want to find the measure of the angles x, y, and z, we will get:
The only thing we need to use here is that the sum of the interior angles of a triangle is always equal to 180°.
With that, we can find the missing angle of the left triangle:
A + 50° + 45° = 180°
A = 180° - 45° - 50° = 85°
Notice that this angle and X are on the same line, and are defined by a line that cuts it, so we will have that:
X + 85° = 180°
X = 180° - 85° = 95°.
Similarly, we should see that Z plus the angle to its left should also be a plane angle, so we have:
Z + 52° = 180°
Z = 180° - 52° = 128°
Finally, to get the value of Y we first need to get the third angle of the triangle in the right side, we know two internal angles, then:
95° + 52° + B = 180°
B = 180° - 95° - 52° = 33°
And Y plus this angle must be equal to 180°, then:
Y + 33° = 180°
Y = 180° - 33° = 147°
Then we have:
If you want to learn more, you can read:
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