Question

What is the smallest angle show work Please

Answer 1

Answer:

15°

Step-by-step explanation:

We know sum of 3 angles is a triangle is always 180°.

Since, this is a right triangle, ONE ANGLE IS 90°. THus, the other two must sum 90.

Let one of the acute angles be x

Since the other is 5 times this, that one is 5x

Thus, now we can write:

x + 5x = 90

Solving for x:

$x+5x=90\\6x=90\\x=\frac{90}{6}\\x=15$

Since x = 15, "5x" would be 5 * 15 = 75

THus, one acute angle is 15 and another is 75, so the smallest is 15