Question

If angle ABC is bisected by line segment BD such that the measure of angle ABC = 2x+1 and measure of angle ABC=6x-22. Find x

Answer 1

If angle ABC is bisected by line segment BD such that the measure of angle $\mathrm{ABC} = 2\mathrm{x} + 1$ and measure of angle $\mathrm{ABD} = 6\mathrm{x} - 22$ . Find x

Solution:

angle ABC = 2 * angle ABD

$$2 x + 1 = 2 * (6 x - 2 2)$$ $$2 x + 1 = 1 2 x - 4 4$$ $$1 0 x = 4 5$$ $$x = 4. 5$$

Answer: $x = 4.5$