Question

Q-4. The sum of the measures of the four angles of a quadrilateral is
O A. 90°
B. 180°
O C.260
°
O D. 360°​

Answer 1

Answer:

360 degree

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Answer 2

ANSWER✨

D) 360°

EXPLANATION ✨

A quadrilateral ABCD is shown in attachment.

As we can see from fig. that quadrilateral ABCD is the sum of two triangles ABC and ACD.

$\bf\longrightarrow the \: sum \: of \: measures \: of \: four \\ \bf angles \: of \: quadrilateral \: is \: sum \: of \\ \bf total \: angles \: of \: two \: triangles.$

°.° One triangle has sum of angles equal to 180°

.°. The sum of measures of the four angles of quadrilateral is 180° + 180°= 360°

Hence, sum of all angles of quadrilateral is $\boxed{360°}$