Advertisements
Advertisements
Question
Find the unknown angles in the given figure:
Advertisements
Solution
In the figure,
x = y .........(Angles opposite to equal sides)
But x + y + 80° = 180° .........(Angles of a triangle)
⇒ x + x + 80° = 180°
⇒ 2x + 80° = 180°
⇒ 2x = 180°− 80° = 100°
⇒ x = `(100°)/2=50°`
∴ y = x = 50°
Hence x = 50°, y = 50°
APPEARS IN
RELATED QUESTIONS
Find the unknown angles in the given figure:
Apply the properties of isosceles and equilateral triangles to find the unknown angles in the given figure:
The vertical angle of an isosceles triangle is 15° more than each of its base angles. Find each angle of the triangle.
The vertical angle of an isosceles triangle is three times the sum of its base angles. Find each angle.
The ratio between a base angle and the vertical angle of an isosceles triangle is 1: 4. Find each angle of the triangle.
In the given figure, BI is the bisector of ∠ABC and Cl is the bisector of ∠ACB. Find ∠BIC.
In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠BAE
In the figure, AB is parallel to CD, find x
In the figure, AB is parallel to CD, find x
The angles of a triangle are in the ratio 1 : 2 : 3, find the measure of each angle of the triangle
