We have found the equations and angles for the given diagrams.
1)
Since the angles are vertically opposite angles and they are equal, we get the equation as:
4 x - 5 = 2 x + 9
Solving for x:
4 x - 2 x = 9 + 5
2 x = 14
x = 7
2)Since the angles form a linear pair, their sum will be 180°.
The equation will be:
10 x + 4 + 3 x + 20 = 180°
Solving for x:
13 x + 24 = 180°
13 x = 156°
x = 12 °
Measure of ∠ACB = 10 x + 4
∠ACB = 10 (12) + 4 = 120 + 4
∠ACB = 124°
3)
angle c is corresponding to angle g
angle e is alternate interior to angle c.
angle g is same side exterior to angle b.
4)
Since ∠d = 40°,
∠b = 40° ( Vertically opposite angles.)
∠h = 40° ( corresponding angles)
∠e = 140° (co-interior angles).
Therefore, we have found the equations and angles for the given diagrams.
Learn more about angles here:
brainly.com/question/25716982
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