3 years ago

(40 points to best answer) (help ASAP)

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Answer:

x=3.5

Step-by-step explanation:

We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.

6 4.2

------ = ----------

5 x

Using cross products

6x = 5*4.2

6x =21

Divide by 6

6x/6 = 21/6

x=3.5

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Given:

AD is an angle bisector in triangle ABC. $m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ$ .

To find:

The value of $m\angle ADC$ .

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AD is an angle bisector in triangle ABC.

$m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}$

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Using angle sum property in triangle CAD, we get

$m\angle CAD+m\angle ADC+m\angle ACB=180^\circ$

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