Question

9. Find the measure of each of the two equal angles of an isosceles right-angled triangle.
10. If all the three angles of a triangle are of the same measure, find the measure of each of the angles.​

Answer 1

Answer:

Given that the isoceles triangle is right - angled .

so , one of the angle is 90 and the the other two are equal ,

then let the equal angles be 2 x = ( x + x )

A/q , 90 + 2 x = 180

=> 2x = 90

=> x = 45

hence, the equal angles are 45 .

given all the angles are equal so ,

let them be x + x + x = 3 x

now , 3 x = 180

=> x = 60 .

hence , each angle measures 60 .

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Answer 2

9. Find the measure of each of the two equal angles of an isosceles right-angled triangle.

Answer:

isosceles triangle;- Having two sides and two angles equal.

Let the angle be X

x+x+90=180

x=45

I,e.

one angle is 90 and the other two angles are 45

10. If all the three angles of a triangle are of the same measure, find the measure of each of the angles.

Answer:

A.T.Q. let the three equal angles are be x,x,x

Then, By angle sum property of triangle

Therefore ,

x+x+x = 180

3x=180

x=180/3

x=60

Then, each angle of triangle is 60 degree