imjennaelise
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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 :

Dead3ill

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°

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.