If three angles of quadrilateral are 60°,60g and 5πc4, then the fourth angle is

60°,60g and 5πc4 We know thatD90=G100=2CπD90=60100D=54°D90=2×5π4×πD=225°Fourth angle is 21°

If three angles of quadrilateral are 60°,60g and 5πc4, then the fourth angle is

60°,60g and 5πc4 We know thatD90=G100=2CπD90=60100D=54°D90=2×5π4×πD=225°Fourth angle is 21°

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If three angles of quadrilateral are $60 °, 60^{g}$ and $\frac{5 π^{c}}{4}$ , then the fourth angle is

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$201 °$

$27 °$

$21 °$

$12 °$

answer is C.

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Detailed Solution

$60 °, 60^{g}$ and $\frac{5 π^{c}}{4}$

We know that

$\frac{D}{90} = \frac{G}{100} = \frac{2 C}{π}$

$\frac{D}{90} = \frac{60}{100}$

$D = 54 °$

$\frac{D}{90} = \frac{2 \times 5 π}{4 \times π}$

$D = 225 °$

Fourth angle is $21 °$

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If three angles of quadrilateral are 60°,60g and 5πc4, then the fourth angle is

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If three angles of quadrilateral are $60 °, 60^{g}$ and $\frac{5 π^{c}}{4}$ , then the fourth angle is