Question

100 POINTS FOR WHO EVER SHOWS THE WORKS AND ANSWERS CORRECTLY. LEGIT 4 QUETIONS BUT MUST SHOW WORK!!

Answer 1

Answer:

See below

Step-by-step explanation:

1 . Missing angle

Sum of interior angles in the triangle = 180°

• 180° - (105° + 29°) = 36°

2. Angle 1

• Angle 1 is exterior angle of the triangle
• Angle 1 = 55° + 78° = 133°

3. Angle 2

• Angle 2 = 180° - (55° = 78°) = 47°

4. The sum of exterior angle and adjacent interior angle equals 180°

If they are equal, then each will measure 180°/2 = 90°

So it is possible with the right triangle

Answer 2

Question 1:

We can use the sum of interior angles to solve.

= 180 - (105 + 29)

= 180 - 134

= 46°

Question 2 and 3:

Angle 1 and Angle 2 create a supplementary angle (180 degrees)

Angle 1 + Angle 2 = 180

180 - 78 - 55 = 47° (Angle 2)

180 - 47 = 133° (Angle 1)

Question 4:

If you add an exterior angle and adjacent interior angle, it will add up to be 180°. If we were to divide in half (180 / 2 = 90). A right angle is an angle that measures 90°. Thus, proves that we can work it out with two right triangles.

Best of Luck!