Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

ply Algebra BD bisects LABC.Solve for xand find mLABC. 27. mLABD 5x, mLDBC- 3x 1

ID: 2899934 • Letter: P

Question

ply Algebra BD bisects LABC.Solve for xand find mLABC. 27. mLABD 5x, mLDBC- 3x 10 28. mLABC 4x 12, mLABD 24 29. m LABD- 4x mLCBD 2x 6 16, 30. mLABD 3x 20 mLCBD 16 Algebra Find the measure of each angle in the angle pair described 31. Think About a Plan The measure ofone angle is twice the measure of its supplement. How many angles are there? What is their relationship? How can you use algebra, such as using the variable x to help you? 32. The measure of one angle is 20 less than the measure of its complement. In the diagram at the right, mLACB 65. Find each of the following 33. mLACD 34. mLBCD 35. mLECD 36. LACE 37. Algebra LRQs and LTQs are a linear pair where mLRQs 2x 4 and mLTQS 6x 20. a. Solve for x. b. Find mLRQs and mLTQS. c. Show how you can check your answer. 38. Writing In the diagram at the right, are L1 and L2 adjacent? Justify your reasoning. 39. Reasoning when B bisects LABC, LABK LCBX. One student claims there is always a related equation mLABX mLABC. Another student claims the related equation is 2mLABx mLABc Who is correct? Explain SEM 40. optics Abeam of light and a mirror can be used to study the behavior oflight. Light that strikes the Angle of Angle of mirror is reflected so that the angle of reflection incidence reflection and the angle ofincidence are congruent. In the diagram, LABC has a measure of 41. a. Name the angle of reflection and find its measure. b. Find mLABD. c. Find mLABE and mLDBF. 41. Reasoning Describe all situations where vertical angles are also supplementary.

Explanation / Answer

Hi, Since 1 Qn per post is allowed, you may post the Question 28 onwards separately,

Here; the answer to the Q28

Now, ABC the whole ange has 2 angles ABD and DBC which are equal.

Given the fact that 5x=3x+10

So, 2x=10, x=5

Therefore, ABC angle = 5x+3x+10 = 8x+10 = 40+10 =50.

Measure of angele ABC = 50 degrees.