Question

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

Answer 1

`z=43^(\circ)`

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.

Answer 2

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`