Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
The exterior angles, obtained on producing the base of a triangle both way are 104° and 136°. Find all the angles of the triangle.
In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B = 65° and ∠C = 33°, find ∠MAN.
State exterior angle theorem.
In the given figure, side BC of ΔABC is produced to point D such that bisectors of ∠ABC and ∠ACD meet at a point E. If ∠BAC = 68°, find ∠BEC.
Calculate the unknown marked angles of the following figure :
Find x, if the angles of a triangle is:
x°, 2x°, 2x°
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
9 cm, 6 cm, 16 cm
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
12 cm, 12 cm, 16 cm
Can you draw a triangle with 25°, 65° and 80° as angles?
D is any point on side AC of a ∆ABC with AB = AC. Show that CD < BD.
