SSC (English Medium) Class 8Maharashtra State Board
Share
Notifications

View all notifications

Measure of One Angle of a Rhombus is 50° .Find the Measures of Remaining Three Angles. - SSC (English Medium) Class 8 - Mathematics

Login
Create free account


      Forgot password?

Question

Measure of one angle of a rhombus is 50° .find the measures of remaining three angles.

Solution

Suppose ABCD is a rhombus.

Let m∠A = 50º.

Opposite angles of a rhombus are congruent.

∴ m∠C = m∠A = 50º and m∠B = m∠D

Now, 

m∠A + m∠B  + m∠C + m∠D = 360º

∴ 50º + m∠B  + 50º + m∠D = 360º

⇒ m∠B + m∠D = 360º − 100º = 260º

⇒ 2 m∠B = 260º               (m∠B = m∠D)

⇒ m∠B = `(260°)/2` = 130°

∴ m∠D = m∠B = 130º 

Thus, the measures of the remaining angles of the rhombus are 130º, 50º and 130º.

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 8: Quadrilateral : Constructions and Types
Practice Set 8.2 | Q: 7 | Page no. 47
Solution Measure of One Angle of a Rhombus is 50° .Find the Measures of Remaining Three Angles. Concept: Some Special Parallelograms - Concept of Rhombus.
S
View in app×