Question

the acute angles of a right angle triangle are in the ratio 5:13 find the acute angles​

Answer 1

Answer:

5x+13x=90

18x=90

x=90/18

x=5

5x=5*5=25

13x=13*5=65

Step-by-step explanation:

Answer 2

Answer:

1st Acute Angle = 25°

2nd Acute Angle = 65°

3rd Angle = 90°

Step-by-step explanation:

As, we know that one angle of a right triangle is 90°

Ratio of Acute angles of a right triangle = 5 : 13

Let the Common Ratio be = x

So, 1st Acute Angle = 5x

2nd Acute Angle = 13x

By, Using Angle Sum Property of a triangle

$90° + 5x + 13x = 180° \\ 90° + 18x = 180° \\ 18x = 180° - 90°\\ 18x = 90° \\ x = \frac{90}{18} \\ x = 5°$

1st Acute Angle

$= > 5x = 5(5) = 25°$

2nd Acute Angle

$= > 13x = 13(5) = 65°$

3rd Angle is obviously 90° As its a Right Angled Triangle.