Question

The acute angles of a right-angled triangle are in the ratio 2:3. Find
each of these angles.

Answer 1

Answer:

as it is right angle triangle one angle is 90degree and sum of total is 180degree the sum of other two angles is 180-90=90 degree

remaining angle =90 degree

ratio=2:3

individual angle is = ratio of that angle/ sum of ratio of angles * remaining angle

first angle =2/5*90=32degree and the next angle is

second angle=3/5*90=58 degree

as they form 32+58=90 degree

hence proved