Question

HELP!!!!!!!!! I DONT UNDERSTAND THIS

Answer 1

Answer:

$x=86^{\circ}$

$y=94^{\circ}$

$z=54^{\circ}$

Step-by-step explanation:

First, let's look at the largest triangle (two smaller triangles are combined) to solve for $z$. Since the sum of the angles in a triangle adds up to $180^{\circ}$, we can write the equation:

$20+74+32+z=180$

$z=180-126$

$z=54^{\circ}$

Looking at the smaller triangle on the left, $y$ (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:

$y=74+20$

$=94^{\circ}$

Since $x$ is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:

$x=32+z$

$=32+54$

$=86^{\circ}$

Hope this helps :)