Question

in a right angled triangle two acute angle are in the ratio 4:5 find these angles​

Answer 1

Answer:

40 and 50 degrees

Step-by-step explanation:

let the angles be 4x and 5x

in a right angle triangle, one of the angles=90 degree

therefore, 4x+ 5x+ 90 = 180 (angle sum property of a triangle)

9x = 180- 90

9x= 90

x= 10 degree

measure of two acute angles=

4x=40 degrees and 5x= 50 degrees

Answer 2

Answer:

$angles \: are \: 40 \: and \: 50$

Step-by-step explanation:

$in \: a \: right \: angled \: triangle \: one \: angle \: of \: 90 \\ \\ acute \: angles \: are \: 4 \: is \: to \: 5 \\ \\ using \: angle \: some \: property \: sum \: of \: all \: the \: angles \: of \: a \: triangle \: is \: 180 \\ \\ so \: let \: the \: angles \: be \: 4x \: and \: 5x \\ \\ accoring \: to \: the \: angle \: sum \: property \\ \\ 90 + 4x + 5x = 180 \\ \\ 4x + 5x = 180 - 90 \\ \\ 4x + 5x = 90 \\ \\ 9x = 90 \\ \\ x = \frac{90}{9} \\ \\ x = 10 \\ \\ so \: the \: angles \: are \\ \\ 4x = 4 \times 10 = 40 \\ \\ 5x = 5 \times 10 = 50 \\ \\ so \: the \: angles \: are \: 90 \: 40 \: and \: 50$