Question

Need help with a math question

Answer 1

`z = 27 \degree`

EXPLANATION

The diagonals of a rhombus bisect each other at right angles.

Hence each of the four angles at the center by are 90° each.

This means that:

`z + 63 + 90 = 180`

Sum of interior angles of a triangle.

`z + 153= 180`

`z = 180 - 153`

This simplifies to.

`z = 27 \degree`

Answer 2

Z = 27°

Explanation:

The sum of the internal angles of a triangle is always equal to 180 °. Note that the triangle shown whose angles are z and 63 ° is a right triangle. Therefore it has an angle of 90 °. Then we can write the following equation:

`z + 63\° +90\°= 180\°\\\\z = 180\° - 63\°-90\°\\\\z = 27\°`

Finally z = 27°