Please help me solve this ​

1. 140 degrees

2. 40 degrees

3. 65 degrees

4. 75 degrees

5 115 degrees

Step-by-step explanation:

1. The inside angle adjacent to angle 1 is 40. We know this because a triangle's interior angles have to add up to 180, and the only number when added to 140 (60+80) to equal 180 is 40. That means that 1 has to be the other part to equal 180.

2. The same rule occurs as before. This time angle 1 is 140, and the line they share's angles have to equal 180, so 2 is 40.

3. The same rule occurs as before with the 105 outside the triangle. 40 + X + 75 = 180, which means that 3 is 65.

4. Using the 105 we can deduce that 105 + X = 180.

5. We use the 40, and angle 4 + X to equal 180. Then we use the X to find 5 to be 115.

Sorry if that is confusing. Your book will probably have better explanations that I will.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

42

step-by-step explanation: