Step-by-step explanation: Question 6: - a. the legs: In the given triangle (likely triangle OYJ), the legs are the two sides that form the right angle. For triangle OYJ, these would be OY and YJ.- b. the hypotenuse: The hypotenuse is the side opposite the right angle. For triangle OYJ, this would be OJ.- c. the right angle: This is ∠OYJ (the 90° angle between the legs OY and YJ).- d. m∠OYJ: The measure of angle OYJ (which is the right angle) is 90°.- e. the side opposite ∠Y: This is the side across from angle Y, which would be OJ.- f. the side opposite ∠O: The side opposite angle O is YJ. Question 7: - a. the legs of AGAD: The legs of triangle AGAD are the sides that form the right angle. In this case, the legs are AG and AD.- b. the legs of AGLD: The legs of triangle AGLD are AG and LD.- c. the common leg to the two right triangles: The side shared between triangles AGAD and AGLD is AG.- d. the hypotenuse of AGAD: The hypotenuse of triangle AGAD (the side opposite the right angle) is GD.- e. the hypotenuse of AGLD: The hypotenuse of triangle AGLD (the side opposite the right angle) is GL.- f. m∠GDA: This is the measure of angle GDA.- g. m∠GDL: This is the measure of angle GDL.- h. m∠GDA + m∠GDL: This is the sum of the measures of angles GDA and GDL. Question 8:- a. the hypotenuse of AACIE: It seems like there's no clear triangle labeled AACIE, so I assume you meant triangle ACE. In that case, the hypotenuse of triangle ACE would be AC.- b. the hypotenuse of ABCE: The hypotenuse of triangle ABCE would be AB.- c. two pairs of vertical angles: The two pairs of vertical angles are the angles opposite each other where the diagonals of the quadrilateral intersect. In this case, they would be ∠BEX and ∠CEX, and ∠BEA and ∠CED.- d. the right angle in ABEC: The right angle in triangle ABEC would be ∠BEC.- e. m∠BEC: This refers to the measure of angle BEC.- f. m∠BEC + m∠BED: This is the sum of the measures of angles BEC and BED.- g. m∠CEA: This refers to the measure of angle CEA.
Answer:the answer is 6.B.7.C.8.g.Step-by-step explanation: