Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter3: Multi-step Equations And Inequalities
Section: Chapter Questions
Problem 11PTTS
Related questions
Question
![### Solving for Angle \( x \) in a Triangle
The measures of the angles of a triangle are shown in the figure below. Solve for \( x \).
**Figure Explanation:**
The diagram is a triangle with three angles:
- One angle is given as \( 39^\circ \).
- Another angle is marked as \( 90^\circ \), indicating it is a right triangle.
- The third angle is denoted as \( x^\circ \), which we need to solve for.
To solve for \( x \), we use the fact that the sum of the interior angles of a triangle is always \( 180^\circ \):
\[ 39^\circ + 90^\circ + x^\circ = 180^\circ \]
From this equation, we can solve for \( x \):
\[ 129^\circ + x^\circ = 180^\circ \]
\[ x^\circ = 180^\circ - 129^\circ \]
\[ x^\circ = 51^\circ \]
Thus, \( x = 51 \).
**Answer:**
\[ x = \boxed{51}^\circ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F760f95d1-2d5a-40a7-a35b-0c4fdbdfef12%2F1bb6e237-0d3d-4900-972f-7d0893e71848%2Fjcufdmo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving for Angle \( x \) in a Triangle
The measures of the angles of a triangle are shown in the figure below. Solve for \( x \).
**Figure Explanation:**
The diagram is a triangle with three angles:
- One angle is given as \( 39^\circ \).
- Another angle is marked as \( 90^\circ \), indicating it is a right triangle.
- The third angle is denoted as \( x^\circ \), which we need to solve for.
To solve for \( x \), we use the fact that the sum of the interior angles of a triangle is always \( 180^\circ \):
\[ 39^\circ + 90^\circ + x^\circ = 180^\circ \]
From this equation, we can solve for \( x \):
\[ 129^\circ + x^\circ = 180^\circ \]
\[ x^\circ = 180^\circ - 129^\circ \]
\[ x^\circ = 51^\circ \]
Thus, \( x = 51 \).
**Answer:**
\[ x = \boxed{51}^\circ \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
