Given the parallelogram abcd, solve for x when angle a equals (30+ 5x)° and angle d equals (15+10x)° degrees. also, sides ab and cd opposite each other.

The value of x = 9.

Step-by-step explanation:

Since we have given that

∠A =  (30+5x)°

∠ D = (15+10x)°

Since ABCD is a parallelogram.

In parallelogram, opposite angles are equal and sum of adjacent angle is supplementary angles.

So, ∠A + ∠D = 180° (∵ A and D are adjacent angles)

Hence, the value of x = 9.

x=half

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.