Math Problem Statement
Solution
Let's break down the problem:
We are given that:
- is a right angle, so .
- is 11 more than 3 times , i.e., .
- .
We need to find .
Let's proceed step by step.
-
Let .
-
From the information given:
-
Since , , and are angles at point that add up to a straight line (180°), we can write:
Substituting the known values:
Simplifying:
-
Next, we use the fact that is a right angle:
Substituting :
Simplifying:
Since , we find that . However, the value of is negative, which does not make sense in this context. There seems to be a contradiction in the setup; let me re-check it for potential clarifications.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angle Relationships
Linear Pair
Algebra
Formulas
Sum of angles on a straight line: m∠1 + m∠2 + m∠3 = 180°
Right angle property: m∠WXZ = 90°
Theorems
Linear Pair Theorem
Right Angle Theorem
Suitable Grade Level
Grades 8-10