The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10. Find the measure of the complement.

Step-by-step explanation:

Now, According to our assumption we can set up an equation :

➵ (180 - x) - 3(90 - x) = 10

➵ 180 - x - 270 + 3x = 10

➵ 2x - 270 = 10 - 180

➵ 2x - 270 = -170

➵ 2x = -170 + 270

➵ 2x = 100

➵ x = 100/2

➵ x = 50

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

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.