Ask Question
11 April, 17:17

2. BT bisects ZABC. MZABT = 4x-16 and m CBT = 2x + 6 Find MZABT.

+2
Answers (1)
  1. 11 April, 17:39
    0
    The measure of angle ABT is 28°

    Step-by-step explanation:

    * Lets revise the bisector of a angle

    - If a ray bisects and angle that mean the ray divide the angle into

    two equal parts in measure

    - Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is

    equal to the measure of angle CBD

    * Lets solve the problem

    ∵ BT bisects ∠ABC

    ∴ m∠ABT = m∠CBT

    ∵ m∠ABT = 4x - 16

    ∵ m∠CBT = 2x + 6

    - Equate the two values

    ∴ 4x - 16 = 2x + 6

    - Lets solve the equation by subtracting 2x from both sides and

    adding 16 to both sides

    ∴ 4x - 2x = 6 + 16

    ∴ 2x = 22 ⇒ divide both sides by 2

    ∴ x = 11

    - Lets find the measure of angle ABT

    ∵ m∠ABT = 4x - 16

    - Substitute x by 11

    ∴ m∠ABT = 4 (11) - 16 = 44 - 16 = 28°

    * The measure of angle ABT is 28°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “2. BT bisects ZABC. MZABT = 4x-16 and m CBT = 2x + 6 Find MZABT. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers