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aleksklad [387]
3 years ago
15

Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate

the sum of the interior angles of a 12-sided object without measuring them
Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

Sum of interior angles of 12 sided object = 1800°

Step-by-step explanation:

Formula to calculate the sum of interior angles of a polygon is,

Sum of the interior angles of a polygon = (n - 2) × 180°

Where n = number of sides of the polygon.

If number of sides of a polygon are 12,

For n = 12,

Sum of interior angles = (12 - 2) × 180°

                                     = 10 × 180°

                                     = 1800°

Therefore, sum of interior angles of a 12 sided polygon will be 1800°.

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Neko [114]

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.

Solution:

AD is an angle bisector in triangle ABC.

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

m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}

m\angle CAD=m\angle BAD=22^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

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

22^\circ+m\angle ADC+72^\circ=180^\circ

m\angle ADC+94^\circ=180^\circ

m\angle ADC=180^\circ-94^\circ

m\angle ADC=86^\circ

Therefore, the angle of angle ADC is 86^\circ.

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