Question

HELP ASAP PLS GIVE EXPLANATION/STATEMENT AND REASON FORM

Answer 1

Answer:  x = 155

Explanation:

Glue the two right triangles together to form one larger triangle.

The angle adjacent to the 60 degree angle is 180-60 = 120 degrees.

The angle adjacent to x is 180-x

The larger triangle has the interior angles of:

• 35
• 120
• 180-x

Those three angles add to 180 (which is true of any triangle)

35+120+180-x = 180

335-x = 180

-x = 180-335

-x = -155

x = 155

Or you can note that 35+120 = 155 which is the summation of the interior angles that aren't adjacent to exterior angle x (refer to the remote interior angle theorem, aka the exterior angle theorem).

Answer 2

Answer:

• The value of x is 155.

Step-by-step explanation:

We know that:

• 35 + 90 + a = 180
• 90 + (180 - x) + (180 - a - 60) = 180

Let's first simplify the first equation.

• => 35 + 90 + a = 180
• => 125 + a = 180
• => a = 180 - 125
• => a = 55

With the help of the 'a' value, let's find the value of x using the second equation.

• => 90 + (180 - x) + (180 - a - 60) = 180
• => 90 + (180 - x) + (180 - 55 - 60) = 180
• => 90 + (180 - x) + (125 - 60) = 180
• => 90 + (180 - x) + 65 = 180
• => 155 + 180 - x = 180
• => 335 - x = 180
• => 335 - 180 = x
• => $\hug\boxed{x = 155}$

Hence, the value of x is 155.

Hoped this helped.

$BrainiacUser1357$