Question

The measures of three angel 39° 141° and 13° .Find the fourth angles with answer

Answer 1

Given :

• The measures of three angel 39° 141° and 13° .

To find :

• Find the fourth angles with answer

Solution :

$\sf \blue{Sum \: of \: all \: angles \: of \: quadrilateral \: is \: 360 \degree} \\ \\ \\ \implies \sf \orange{\angle \: a + \angle \: b + \angle \: c + \angle \: d \: = 360 \degree }\\ \\ \\ \implies\sf \red{39 \degree + 141 \degree + 13 \degree + d \degree = 360 \degree} \\ \\ \\ \implies\sf \purple{193 \degree + d \degree = 360 \degree} \\ \\ \\ \implies\sf \pink{ d \degree = 360 \degree - 193 \degree} \\ \\ \\ \implies \underline{\boxed {\sf {\gray {d \degree = 167 \degree}}}}$

∴ The fourth angles is 167°.

Answer 2

Given :-

• The measures of three angel 39° 141° and 13°

To find :-

• The fourth angle = ?

Solution :-

we know that sum of all angle of quadrilateral is 360°

⤇ ∠ A + ∠ B + ∠ C + ∠ D = 360°

⤇ 39° + 141° + 13° + ∠ D = 360°

⤇ 193° + ∠ D = 360°

⤇ ∠ D = 360° - 193°

⤇ ∠ D = 167°

Hence,the fourth angle will be 167°