Question

find unknown angles in the given figure​

Answer 1

Answer:

(100) As there is two sides are equal then a

ngle opposite to the equal sides are equal. then angle b is equal to 40. now by using sum angle property of triangle angle a will be 100

Answer 2

According to given figure,

$\sf∠b = 40° \: \: \: \: \: \: { \tiny{ \text{[Angles opposite to equal sides are also equal]}}}$

Now, Using angle sum property of triangle,

$\bf 40° + ∠a + ∠b = 180° \\ \sf \: \: 40° + ∠a + 40° = 180° \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: ∠a + 80° = 180° \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ∠a = 100°$

Hence, Unknown angles (∠a & ∠b) are 100° & 80° respectively.