Math, asked by Anonymous, 1 year ago

The acute angles of a right angled triangle are in the ratio 2:4. Find the measure of those angles?

Answers

Answered by gaurav2013c
4
Let the angles be 2a and 4a

By angle sum property of triangle ,

2a + 4a + 90 = 180

=> 6a + 90 = 180

=> 6a = 90

=> a = 15

First angle = 30°

Second angle = 60°

gaurav2013c: Yes
Answered by anamikasv
7

Answer:

30 and 60

Step-by-step explanation:

there are three angles in a right triangle

they are a right angle(90) and two acute angles

1st angle = 90

second angle= 2x (2:4)

third angle= 4x (2:4)

now we know that the sum of all the angles of a triangle is 180 ]

so 90+2x+4x=180

90+6x=180

6x=180-90=90

x=90/6=15

now the angles are 2x= 2×15=30 and 4x=4×15=60

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