An angle measures 8.2° more than the measure of its complementary angle. What is the measure of each angle?

9514 1404 393

  49.1°, 40.9°

Step-by-step explanation:

Let x represent the smaller angle. Then the larger is x+8.2 and the total of the two angles is ...

  x + (x +8.2) = 90

  2x +8.2 = 90 . . . . . collect terms

  x + 4.1 = 45 . . . . . . .divide by 2

  x = 40.9

  x +8.2 = 49.1

The two angles are 49.1° and 40.9°.

8y^50

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.