Question

One of the angles of a triangle is 90°. If one of the remaining anglies is twice the other then the
smaller of the remaining angles is​

Answer 1

We are given that one of the angles is 90

Now according to Angle Sum property, the other angles' sum would also be 90

Now, let the first angle be 'x'

so other angle will be 2x(twice of first angle)

ATQ,

x+2x=90(sum of the angles will be 90 as the third angle is 90 and sum of angles in a triangle is 180)

⇒x=30= first angle

⇒2x=30*2=60=second angle

So the smaller of the two angles is 30degrees and 60degrees is the other angle.

30 degrees is the measure of the smaller angle

pls mark as brainliest if it helps

Answer 2

Answer: 30 deg.

Step-by-step explanation:

We have a triangle

let it be ABC

Then A=90 deg.

let angle B=x

and ATQ  C=2x

then2x + x + 90 = 180

3x = 180 - 90

3x = 90

x = 90/3

x = 30

So A = x = 30 deg.

and B = 2x = 60 deg.

And Hence the smaller angle is = 30 deg.