Advertisements
Advertisements
Question
Find the unknown angles in the given figure:
Advertisements
Solution
In the figure,
a = b .........(Angles opposite to equal sides)
But a + b + 80° = 180° .........(Angles of a triangle)
⇒ a + a + 80° = 180°
⇒ 2a + 80° = 180°
⇒ 2a = 180°− 80° = 100°
⇒ a =`(100°)/2=50°`
∴ b = a = 50°
x = a + 80° .......(Exterior angle of a triangle is equal to sum of its opposite interior angles)
= 50° + 80° = 130°
Hence a = 50°, b = 50° and x = 130°
APPEARS IN
RELATED QUESTIONS
Find the unknown angles in the given figure:
Find the unknown angles in the given figure:
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 base angle of an isosceles triangle is 15° more than its vertical angle. Find its each angle.
In the given figure, BI is the bisector of ∠ABC and Cl is the bisector of ∠ACB. Find ∠BIC.
In ∆ ABC, BA and BC are produced. Find the angles a and h. if AB = BC.
In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠ABE
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
