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:
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:
In an isosceles triangle, each base angle is four times its vertical angle. Find all the angles of the triangle.
The vertical angle of an isosceles triangle is three times the sum of its base angles. Find each angle.
In ∆ ABC, BA and BC are produced. Find the angles a and h. if AB = BC.
Find x in Figure Given: DA = DB = DC, BD bisects ∠ABC and∠ADB = 70°.
In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠ABE
In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠BAE
The angles of a triangle are in the ratio 1 : 2 : 3, find the measure of each angle of the triangle
