## Chapter 12 - Isosceles Triangle Exercise Ex. 12.1

Question 1
Find the interior angles of the following triangles:
Solution 1
Question 2
Find the interior angles of the following triangles:
Solution 2

Question 3
Find the interior angles of the following triangles:

Solution 3

Question 4
Find the interior angles of the following triangles:
Solution 4
Question 5
In the given figure, D and E are points on AB and AC respectively. AE and CD intersect at P such that AP = CP. If BAE = BCD, prove that DBDE is isosceles.
Solution 5
Question 6
In DPQR as shown, PQS = RQS and QS PR. Find the value of x and y, if PQ = 3x + 1; QR = 5y - 2; PS = x + 1 and SR = y + 2.
Solution 6
Question 7
In the given figure :
if PQS = 60o,
a. find QPR.
b. show that PQ = PS = QS = SR
Solution 7
Question 8
In the give figure, if DPQR is an isosceles triangle, prove that: QSR = exterior PRT.
Solution 8
Question 9
In the given figure, if DABC is an isosceles triangle and PAC = 110o, find the base angle and vertex angle of the DABC.

Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27