Work out the size of angle x of a triangle

x = 46

Step-by-step explanation:

130 is the exterior angle of the triangle,

Its interior angle

= 180 - 130

= 50

96 is the exterior angle of the triangle,

Its interior angle

= 180 - 96

= 84

Now,

x, 50 and 84 are the interior angles,

Sum of interior angles of a triangle is 180,

50 + 84 + x = 180

134 + x = 180

x = 180 - 134

x = 46

x = 46 degrees.

Step-by-step explanation:

The  base angles are 180 - 96 = 84 degrees

and 180 - 130 = 50 degrees.

As there are 180 degrees in a triangle x = 180 - (84 + 50)

= 180 - 134

= 46 degrees,

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.