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solong [7]
3 years ago
7

The measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. What is the measure of

angle 7 to the nearest degree

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Complete question:

CHECK ATTACHMENT FOR THE DIAGRAM.

Answer:

Angle 7 is 76°

Step-by-step explanation:

From the diagram, notice that angle 4 = angle 5

That is,

Δ4 = Δ2

Because vertically opposite angles are equal.

Δ4 = 7x

Δ2 = 126

So

126 = 7x

Divide both sides by 7

x = 126/7 = 18

Again, angle 5 = angle 7

Δ5 = Δ7

Because vertically opposite angles are equal.

Since Δ5 = (4x + 4)°

And x = 18

Then

Δ7 = 4(18) + 4 = 72 + 4 = 76°

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Step-by-step explanation:

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The length of one of the legs  of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.

<h3>What is an Isosceles triangle?</h3>

Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.

The  isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.

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Therefore, using Pythagoras theorem

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4 0
2 years ago
X+2y=-8 find the slope ​
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Step-by-step explanation:

Step  1  :

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