Find the measure for angle 1 and angle 4
1 answer:
9514 1404 393
Answer:
angle 1 = 76°
angle 4 = 45°
Step-by-step explanation:
The relevant relations are ...
- vertical angles are congruent
- the sum of angles in a triangle is 180°
- a linear angle is 180°
- an exterior angle is equal to the sum of the remote interior angles
__
Angle 1 can be found using the fact that the sum of interior angles is 180°
∠1 +68° +36° = 180°
∠1 = 76° . . . . . . . . . . . . . subtract 104° from both sides
__
Finding angle 4 requires you know angle 3, which is a vertical angle to the one marked 65°. This means we have ...
∠3 +70° +∠4 = 180° . . . . . . the angles together form a linear angle
∠4 = 180° -70° -65° . . . . . . substitute 65° for ∠3
∠4 = 45°
You might be interested in
Answer:
x = 36
Step-by-step explanation:
Subtract x and 36 from both sides.
Divide both sides by -1.
Square both sides.
Subtract 144x from both sides.
Factor the right side.
Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.
Check x = 36:
Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.