Question

The measure of one of the small angles of a right triangle is 14 more than 3 times the measure of the other small angle. Find the measure of both angles (in degrees).

Answer 1

Explanation:

Lets assume that angle of right angle trangles are <a,<b and <c

here one of the angle is 90°

so, <a=90°

now,

By the question

<c=3×<b+14

again,

<a+<b+<c=180° (being sum of interior angles of trangles)

90°+<b+(3×<b+14)=180° ( including the value of <a and <c)

90°+<b+3<b+14=180°

4<b=180-90-14

<b=86/4

<b=19°

<c=3×<b+14

=3×19+14

<c=71

smallest angle is 19°

and another small angle is 71°