Advertisements
Advertisements
Question
The angles of a triangle are arranged in ascending order of magnitude. If the difference
between two consecutive angles is 10°, find the three angles.
Advertisements
Solution
Given that,
The difference between two consecutive angles is `10^@`
Let x,x+10,x+20 be the consecutive angles differ by `10^@`
W.K.T sum of all angles of traingle is `180^@`
`x+x+10+x+20=180^@`
`3x+30=180^@`
⇒ `3x=180-30^@ ⇒ 3x=150^@`
⇒`x=50^@`
∴ `x=50^@`
∴ The required angles are
x,x+10 and x+20
x=50
x+10=50+10=60
x+20=50+10+10=70
The difference between two consecutive angles is `10^@` then three angles are ` 50^@,60^@ and 70^@`
APPEARS IN
RELATED QUESTIONS
If the side BC of ΔABC is produced on both sides, then write the difference between the sum of the exterior angles so formed and ∠A.
In ΔRST (See figure), what is the value of x?
State, if the triangle is possible with the following angles :
60°, 60°, and 50°
Classify the following triangle according to angle:
Can you draw a triangle with 25°, 65° and 80° as angles?
In the following figure, AD is the bisector of ∠BAC. Prove that AB > BD.
Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.
Can we have two acute angles whose sum is a reflex angle? Why or why not?
How is a vertex of triangle △ABC most accurately defined?
How many angles are there inside a triangle?
