Quadrilaterals Ex 8.1 Q - 2 Page No 146, Class 9th Maths NCERT
Quadrilaterals, Class 9 Mathematics R.D Sharma Solutions
Page 14.4 Ex. 14.1
Q1.
Answer :
Let the measure of the fourth angles be x°. We know that the sum of the angles of a quadrilateral is 360°.
Therefore,
Hence the measure of the fourth angle is .
Q2.
Answer :
We have ,.
So, let ,
,
And
By angle sum property of a quadrilateral, we get:
Also,
And
Similarly,
Hence, the four angles are ,,and .
Q3.
Answer :
The quadrilateral can be drawn as follows:
We have CO and DO as the bisectors of angles and respectively.
We need to prove that.
In ,We have,
…… (I)
By angle sum property of a quadrilateral, we have:
Putting in equation (I):
Hence proved.
Q4.
Answer :
We have, .
So, let ,
,
and
By angle sum property of a quadrilateral, we get:
Also,
And
Similarly,
Hence, the four angles are , , and .
Page 14.18 Ex. 14.2
Q1.
Answer :
It is given
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