## 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 