Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I’m confused please help thanks
This is an annotated diagram of a rectangle labeled RWHL with the following details:
- The length of side HL is given as 20 meters
- The length of side RH is given as 15 meters
- Diagonals WR and HL intersect at point B
- Angle \( \angle WRL \) at vertex R is given as 65°
#### Questions:
a. \( m\angle WRL \) = ________
b. \( m\angle WBR \) = ________
c. \( RL \) = ________
d. \( BH \) = ________
#### Explanation of the Diagram:
- The rectangle RWHL has right angles at each vertex, which means each internal angle is 90°.
- Diagonals in the rectangle intersect at the center and create two congruent triangles.
- By properties of a rectangle and symmetry, certain angles and lengths can be derived from given information.
#### Diagram Explanation:
- Rectangle RWHL is drawn with point B being the intersection of the diagonals WR and HL.
- The rectangle has dimensions of 20 meters for the length (horizontal side) and 15 meters for the width (vertical side).
- \( \angle WRL \) is specifically marked as 65°
- No additional explicit angle measurements or side lengths are provided, except the rectangle properties to be used for calculation.
Ensure to use angle relationships and rectangle properties to determine the unknown measures asked in the questions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2068cdf4-8d19-4795-984e-19149df06ef7%2Ffbb979f3-5012-4f0c-b2e2-4e5e8264f806%2F5ciiv5l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Content: Rectangle Geometry
#### Problem Statement:
The figure below is a rectangle. Fill in the indicated information.
----------------------------------------
This is an annotated diagram of a rectangle labeled RWHL with the following details:
- The length of side HL is given as 20 meters
- The length of side RH is given as 15 meters
- Diagonals WR and HL intersect at point B
- Angle \( \angle WRL \) at vertex R is given as 65°
#### Questions:
a. \( m\angle WRL \) = ________
b. \( m\angle WBR \) = ________
c. \( RL \) = ________
d. \( BH \) = ________
#### Explanation of the Diagram:
- The rectangle RWHL has right angles at each vertex, which means each internal angle is 90°.
- Diagonals in the rectangle intersect at the center and create two congruent triangles.
- By properties of a rectangle and symmetry, certain angles and lengths can be derived from given information.
#### Diagram Explanation:
- Rectangle RWHL is drawn with point B being the intersection of the diagonals WR and HL.
- The rectangle has dimensions of 20 meters for the length (horizontal side) and 15 meters for the width (vertical side).
- \( \angle WRL \) is specifically marked as 65°
- No additional explicit angle measurements or side lengths are provided, except the rectangle properties to be used for calculation.
Ensure to use angle relationships and rectangle properties to determine the unknown measures asked in the questions.
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