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find the value of help
Please help

find the value of help Please help-example-1

2 Answers

6 votes

Answer:

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

User Jtooker
by
7.8k points
5 votes

Answer:


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)

User Janak Nirmal
by
8.4k points

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