Advertisements
Advertisements
Question
Set up an equation in the following case:
In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees.)
Advertisements
Solution
An isosceles triangle has two of its angles of equal measure.
Let base angle be b.
Vertex angle = 2 × Base angle = 2b
Sum of all interior angles of a Δ = 180°
b + b + 2b = 180°
4b = 180°
APPEARS IN
RELATED QUESTIONS
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| x - 7 = 1 | x = 8 |
Write the following statement as an equation:
A number divided by 8 gives 7.
Solve the following equation by the trial-and-error method: z − 3 = 2z − 5
Solve the following equation and verify the answer:
4x + 7 = 15
Solve the following equation and verify the answer:
`x/5`=12
A wire of length 86 cm is bent in the form of a rectangle such that its length is 7 cm more than its breadth. Find the length and the breadth of the rectangle so formed.
Fill in the blank.
3x − 5 = 7 − x ⇒ x = ______
In an equation a + b = 23. The value of a is 14 then the value of b is _______
A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.
Solve the following riddles, you may yourself construct such riddles.
| Who am I? |
![]() |
| Go round a square Counting every corner Thrice and no more! Add the count to me To get exactly thirty four! |

