Question

The measures of three angle of a quadrilateral are 39, 141,13 FIND its fourth angle

Answer 1

Answer:

360 - ( 39 + 141 + 13 + )

= 360 - 193

= 217

Hence , The fourth angle is 217

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Answer 2

Answer:

The measure of the fourth angle is 167°

Step-by-step explanation:

Given the measures of three angle of a quadrilateral, 39°, 141°, 13°.

Let $\angle A=39^o, \angle B=141^o~\&~ \angle C=13^o$

Quadrilateral:

• A quadrilateral is a polygon formed joining four non-collinear points.
• It has four sides, four vertices and four angles.
• Sum of the four interior angles of a quadrilateral is equal to 360°.

Substituting the measures of the given angles,

$\angle A+\angle B+\angle C+\angle D=360^o$

$\implies 39+141+13+\angle D=360$

$\implies 193+\angle D=360$

$\implies\angle D=360- 193=167$

Therefore, the measure of the fourth angle is 167°.