Question

Fill in the blank. In the triangle below, z^o=______^o.

Answer 1

ANSWER
$z = 43 \degree$
EXPLANATION


We want to calculate the value of the angle marked z° in the diagram.

Since the given diagram is a right angle triangle, one of the angles is 90°.


The sum of the angles in a triangle is 180°.


This implies that,

$z + 90 \degree+ 47 \degree = 180 \degree$


We group like terms to obtain,

$z = 180 \degree - 90 \degree - 47 \degree$


We simplify to obtain,


$z = 43 \degree$

Answer 2

Answer:

$z=43^{\circ}$

Step-by-step explanation:

We have been given a right triangle. We are asked to find the measure of angle z for our given triangle.

We know that all interior angles of a triangle add up-to 180 degrees. Using angle sum property, we can set an equation as:

$z+47^{\circ}+90^{\circ}=180^{\circ}$

$z+137^{\circ}=180^{\circ}$

$z+137^{\circ}-137^{\circ}=180^{\circ}-137^{\circ}$

$z=43^{\circ}$

Therefore, the value of z is 43 degrees.