Question

1 ) 2 acute angles of a right triangle are in the ratio of 2:3,find the smallest angle of the triangle.
a. 36
b. 54
c. none of these
d. 124

2) In a Triangle ABC it is given that AB=AC and angle A=70 degree.Find each of the equal angle .
a. 55
b. 70
c. 110
d. 45​

Answer 1

Answer:

1 ) 36 degree

2 ) 55 degree

Step-by-step explanation:

1 )  Let the angles be 2x and 3x ..

We know that , in a right triangle the sum of acute angles is 90 degree

.*. 2x + 3x = 90

5x = 90

x = 18 degree

We clearly know that 2x is the smallest angle and the value of it is 2x = 2 x 18 which is equal to 36 degree....

So the correct option is a

__________________________________________________________

2 ) Since AB = AC .. We can understand that it is an isoceless traingle.. So the angles formed by them are also equal ...

Lets take the angle as x degree

Angle sum property : -

x + x + 70 = 180

2x = 110

x = 55 degree

So the correct option is a.