Given: 


Find: 

To find:
The value of x.
Given:
Theorem used:
Angle bisector theorem:
If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.
Calculation:
We have
By angle bisector theorem, we get
Given that
Thus
Calculus (MindTap Course List)
Understanding Basic Statistics
Precalculus: Mathematics for Calculus (Standalone Book)
Essentials Of Statistics
Calculus: Early Transcendentals
Mathematical Excursions (MindTap Course List)
Calculus: Early Transcendental Functions
Applied Calculus
Mathematical Applications for the Management, Life, and Social Sciences
Intermediate Algebra
Single Variable Calculus: Early Transcendentals, Volume I
Single Variable Calculus
Elementary Technical Mathematics
Statistics for The Behavioral Sciences (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Multivariable Calculus
Finite Mathematics
Calculus (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Finite Mathematics and Applied Calculus (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Elements Of Modern Algebra
Trigonometry (MindTap Course List)
Calculus of a Single Variable
Contemporary Mathematics for Business & Consumers
Finite Mathematics for the Managerial, Life, and Social Sciences
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Calculus: Early Transcendental Functions (MindTap Course List)
Study Guide for Stewart's Multivariable Calculus, 8th