Question

find the value of help
Please help

Answer 1

The angle is 32

Explanation:

The formula for the sum of interior angles is
`(n-2)180`

We have a triangle inside a triangle.

A triangle has 3 sides.

`(n-2)180\\(3-2)180\\1(180)\\180`

The picture shows us an angle of 90 and 58.

All 3 angles must add up to 180.

`180-90-58`

`x=32`

Answer 2

`x=29^(\circ)`

Explanation:

Please refer to the picture attached as I labeled the angles.

Given

`\angle{B}=90^(\circ)`

`\angle{ADB}=58^(\circ)`

`AD=CD`

`\angle{ACD}=\angle{CAD}` which also equals x in your picture.

We need to use the Exterior Angle Property to evaluate x.

This property states that the exterior angle equals sum of two interior opposite angles.

`\angle{ACD}+\angle{CAD}=58^(\circ)`

Substitute x for
`\angle{ACD}` and
`\angle{CAD}`.

`x+x=58^(\circ)`

Add x and x.

`2x=58^(\circ)`

`x=29^(\circ)`