The figure shows ∠GOF drawn with a protractor. What type of angle is it and what is its measure?

Mathematics

2 answers:

djyliett [7]3 years ago

6 0

Answer

D. Obtuse; 120°

Explanation

A protractor is a mathematical instrument that is used to measure angles.

Obtuse ⇒ Is an angle greater than 90° but less than 180°

Acute ⇒ Is an angle less than 90°.

∴ ∠GOF is and obtuse angle

∠GOF = 135 - 15

= 120°

yaroslaw [1]3 years ago

3 0

Answer : D. Obtuse; 120°

The figure shows ∠GOF drawn with a protractor.

From the given figure

Angle G = 15 degrees

Angle F = 135 degrees

The difference between angle F and angle G is the∠GOF

∠GOF = ∠F - ∠G = 135 - 15 = 120 degrees

When the angle is less than 90 degree then it is called as acute angle

When the angle is greater than 90 degree then it is called as obtuse angle

120 degree is greater than 90. so it is an obtuse angle

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uysha [10]

Let
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h-----------> the height of the sculpture in the shape of a pyramid

we know that
h=(x-3)
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then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- this equation can be used to find the length of the sculpture’s base

using a graph tool-----------> to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
the length of the sculpture’s base is 9 cm
the height of the sculpture is 6 cm