Question

enter the measure of the angle. degrees

Explanation:

Step1: Assume angle UDH and angle HDR are complementary (since they seem to form a right angle, maybe? Wait, maybe the diagram implies that (8x - 13) + 39 = 90? Wait, maybe the angle between UD and HD is (8x -13), and between HD and RD is 39, and UD and RD are perpendicular? So (8x -13) + 39 = 90. Let's solve for x.

First, simplify the left side: 8x -13 +39 = 8x +26. Set equal to 90: 8x +26 = 90. Subtract 26: 8x = 64. Then x = 8.

Step2: Now find the measure of angle UDH, which is (8x -13). Substitute x=8: 8*8 -13 = 64 -13 = 51. Wait, but maybe the angle we need is angle UDH? Or maybe the angle between UD and RD? Wait, if HD is a horizontal line, and the angle between HD and RD is 39, and between HD and UD is (8x -13), and UD and RD are perpendicular (90 degrees), then (8x -13) +39 = 90. So solving gives x=8, then (8x -13)=51. So the angle measure is 51 degrees? Wait, maybe the problem is to find the angle (8x -13) when x is solved from the right angle. Let's check again.

If the two angles (8x -13) and 39 add up to 90 (right angle), then:
8x -13 + 39 = 90
8x + 26 = 90
8x = 90 -26 = 64
x = 64 /8 = 8
Then angle (8x -13) = 8*8 -13 = 64 -13 = 51. So the measure is 51 degrees.

Answer:

51