Question

the three inside angles (A, B, C) of a right angled triangle are in the ratio 7:18:11. The smallest angle is 35 degrees. Work out the angle A, B,C

Answer 1

sum of interior angles of a triangle = 180
ratio 7:18:11 
so
7+18+11 = 36

180 / 36 = 5

7 x 5 = 35
18 x 5 = 90
11 x 5 = 55

answer
measures of right triangles are 35, 90 and 55

Answer 2

The three inside angles (A, B, C) of a right angled triangle are $\rm \angle A = 35^\circ$ which is the smallest angle, $\rm \angle B = 90^\circ$ which is the right angle and $\rm \angle C = 55^\circ$ which is the third angle of the triangle.

Given :

• $\rm \angle A :\angle B:\angle C = 7:18:11$

• Smallest angle = $35^\circ$

To solve this kind of problems first let x be in degree. So, angle A, angle B and angle C beecomes:

$\rm \angle A = 7x$    -----  (1)

$\rm \angle B = 18x$  ----- (2)

$\rm \angle C = 11x$   ----- (3)

From the properties of triangle, the sum of interior angles of a triangle is $180^\circ$.

$\rm \angle A +\angle B+\angle C = 180^\circ$  --- (4)

Now, put the values of $\rm \angle A,\;\angle B,\;and \; \angle C$ in equation (4).

$7x+18x+11x=180^\circ$

$36x = 180^\circ$

$x = 5$

Now, put the value of x in equation (1), (2) and (3).

$\rm \angle A = 7\times 5 = 35^\circ$

$\rm \angle B = 18\times5 = 90^\circ$

$\rm \angle C = 11\times5=55^\circ$

The three inside angles (A, B, C) of a right angled triangle are $\rm \angle A = 35^\circ$ which is the smallest angle, $\rm \angle B = 90^\circ$ which is the right angle and $\rm \angle C = 55^\circ$ which is the third angle of the triangle.

For more information, refer the link given below

https://brainly.com/question/3430995