Imjennaeliseidn
Answered

IDNLearn.com is designed to help you find reliable answers to any question you have. Get thorough and trustworthy answers to your queries from our extensive network of knowledgeable professionals.

find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

Find The Measures Of The Numbered Angles In The Rhombus Will Give Brainliest Pls Show How You Solved It class=

Sagot :

Dead3illidn

Answer:

∠1 = 72°

∠2 = 54°

∠3 = 54°

∠4 = 72°

Step-by-step explanation:

In the isosceles triangle in which ∠4 is the top vertex angle and ∠3 & 54° are it's base angles. As it is an isosceles triangle , ∠3 = 54°

Using angle sum property of a triangle ,

∠4 + ∠3 + 54° = 180°

⇒ ∠4 + 54°+ 54° = 180°

⇒ ∠4 = 180° - 108° = 72°

Diagonals of a rhombus bisect the vertex angles of a rhombus. So,

∠2 = ∠3 = 54°

Also , opposite vertex angles of a rhombus are equal, So , ∠1 = ∠4 = 72°

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.