6. All angles in the figure below are right angles. What is the area of the figure? (4 point)
1 answer:
Answer:
Area the figure = 45 - 9 = 36 units² ⇒ last answer
Step-by-step explanation:
<em>"I have added screenshot of the complete question as well as the diagram"</em>
All the angles of the figure are right angles
<u>From the attached figure:</u> <em>we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units</em>
∵ All the angles of the figure are right angles
∴ We can consider that the figure of dimensions 9 units and 5 units
as a rectangle
∵ Area of any rectangle A = L × H , where L, H are the dimensions
of the rectangle
∵ L = 9 units and H = 5 units
∴ Area of the rectangle = 9 × 5 = 45 units²
- The dimensions of the cutting part are 3 units and
[9 - (2 + 4) = 9 - 6 = 3 units]
∴ The cutting part is a square
∵ Area any square = S², where S is the length of the side of the square
∵ S = 3 units
∴ The area of the cutting part = 3² = 9 units²
∵ Area of the figure = area rectangle - area square
∵ Area the rectangle = 45 units²
∴ Area the square = 9 unit²
∴ Area the figure = 45 - 9 = 36 units²
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Question has missing figure, the figure is in the attachment.
Answer:
The measure of ∠1 is 65°.
The measure of ∠2 is 65°.
The measure of ∠3 is 50°.
The measure of ∠4 is 115°.
The measure of ∠5 is 65°.
Step-by-step explanation:
Given,
We have an isosceles triangle which we can named it as ΔABC.
In which Length of AB is equal to length of BC.
And also m∠B is equal to m∠C.
ext.m∠C= 115°(Here ext. stands for exterior)
We have to find the measure of angles angles 1 through 5.
Solution,
For ∠1.
∠1 and ext.∠C makes straight angle, and we know that the measure of straight angle is 180°.
So, we can frame this in equation form as;
On putting the values, we get;
-115\°=65\°[/tex]
Thus the measure of ∠1 is 65°.
For ∠2.
Since the given triangle is an isosceles triangle.
So,
Thus the measure of ∠2 is 65°.
For ∠3.
Here ∠1, ∠2 and ∠3 are the three angles of the triangle.
So we use the angle sum property of triangle, which states that;
"The sum of all the angles of a triangle is equal to 180°".
Now we put the values and get;
Thus the measure of ∠3 is 50°.
For ∠4.
∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.
So, we can frame this in equation form as;
Substituting the values of of angle 2 to find angle 4 we get;
Thus the measure of ∠4 is 115°.
For ∠5.
∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.
So, we can frame this in equation form as;
Substituting the values of of angle 4 to find angle 5 we get;
Thus the measure of ∠5 is 65°.
Hence:
The measure of ∠1 is 65°.
The measure of ∠2 is 65°.
The measure of ∠3 is 50°.
The measure of ∠4 is 115°.
The measure of ∠5 is 65°.
