Question

each base angle of an isosceles triangle is 18° more than its vertical angle find each angle of the triangle​

Answer 1

Answer:

hey renuka here is ur explanation for your question

here we go

Step-by-step explanation:

so let the vertical angle be x degree

and the base angles be y degree and z degree

so now according to given conditions

y=x+18

z=x+18

now then

according sum of angles in triangle property

x+y+z=180

thus,,

x+(x+18)+(x+18)=180

thus 3x+36=180 ie

3x=144

so x=48

substitute x ka value in both 1 and 2

you would get angle y=angle z=66 degree as it is a isoceles triangle it's both base angles would be congruent to each other

hence the angles are 66 degree,,66 degree,,48 degree

u can verify it by adding 66+66+48

if the sum comes 180

our answer is ryt then