Q2. ABD is
a cyclic quadrilateral it measure at
of angle is equal to pi/4 . find the MLc in radian and degree.
Answers
Answered by
0
Step-by-step explanation:
⇒ Let ∠A=
9
2π
=
9
2π
×
π
180
o
=40
o
Let measure of other angles be 3x,5x and 8x.
So, ∠B=3x,∠C=5x and ∠D=8x
We know that sum of four angles of an quadrilateral is 360
o
.
∴ ∠A+∠B+∠C+∠D=360
o
.
⇒ 40
o
+3x+5x+8x=360
o
.
⇒ 16x=320
o
.
⇒ x=20
o
.
⇒ ∠B=3x=3×20
o
=60
o
⇒ ∠C=5x=5×20
o
=100
o
⇒ ∠D=8x=8×20
o
=160
o
.
Measure in radian,
∠B=60
o
×
180
o
π
=
3
π
∠C=100
o
×
180
o
π
=
9
5π
∠D=160
o
×
180
o
π
=
9
8π
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