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olga nikolaevna [1]
3 years ago
12

1.

Mathematics
2 answers:
Reil [10]3 years ago
6 0

Answer:

150

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360.  Let x be the unknown angle

30+70+110+x = 360

Combine like terms

210 +x = 360

Subtract 210 from each side

210+x-210 = 360-210

x = 150

Anvisha [2.4K]3 years ago
3 0

Answer:

The measures of the fourth angle is 150 .

Step-by-step explanation:

<h3><u>Given</u> :-</h3>

The measures of three angles of quadrilateral are 30 , 70 and 110.

<h3><u>To find</u> :-</h3>

Find the measures of fourth angle.

<h3><u>Solution</u> :-</h3>

Let, the measures of fourth angle be x.

We know that sum angles of quadrilateral are 360 .

30 + 70 + 110 + x = 360

combine like terms

210 + x = 360

subtract 210 from 360.

x = 360 - 210

x = 150

Therefore, the fourth angle of quadrilateral is 150.

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