A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The o
2 answers:
Answer:
The acute angles are 35 degrees each.
Step-by-step explanation:
A carpenter intersects two pieces of wood to make two sets of vertical angles.
The vertically opposite angles are equal.
Given is - the obtuse angles formed are each 145°.
Means there will be 2 obtuse angle (145 degrees each) and 2 acute angles.
And all these 4 angles form 360 degrees.
Lets say the acute angle is = x
Calculation is as follows: (imagine moving in a circle with 4 parts.)
=>
=>
=>
x = 35 degrees.
Hence, the acute angles are 35 degrees each.
You might be interested in
To determine the 'intervals of increase' and 'intervals of decrease' we can refer to the graph with respect to the x - axis.
• Knowing that t = x - axis, the 'intervals of increase' as an inequality would be 1 < x < 3, and 4 < x < ∞. Therefore we have our intervals of increase as (1,3) and (4, ∞).
• Respectively our 'intervals of decrease' as inequalities would be - ∞ < x < 1, and 3 < x < 4. Our intervals of decrease would then be (- ∞, 1) and (3,4).
• We are left with our local extrema and absolute extrema. Now remember the absolute extrema is the absolute lowest point in the whole graph, while the local extrema is the lowest point in a restricted interval. In this case our local extrema is our maximum, (3,1). But this maximum is not greater than the starting point (0, 4) so it appears, and hence their is no absolute extrema.
