Question

Geometry help needed!

Answer 1

Explanation:

In the second triangle

since the 75 is on straight line so we are going to get the and next to it by 180-75=105

since the two sides of the triangle are equal so its isosceles triangle so 180-105=75

then we will divide the 75

75÷2=37.5 so x=37.5

Answer 2

x = 37.5°

Explanation:

Angles on a straight line sum to 180°.

Therefore, the angle on the straight line adjacent to the angle 75° is:

⇒ 180° - 75° = 105°

The two smaller triangles inside the larger right triangle are isosceles triangles as they each have two congruent sides.

The triangle with angle x as one of its base angles (shown in red on the attached diagram) has a vertex angle of 105°.

Interior angles of a triangle sum to 180°. Therefore:

⇒ x + x + 105° = 180°

⇒ 2x = 75°

⇒ x = 37.5°