Question

Suppose that NOP is isosceles with base.

Suppose also that and.
Find the degree measure of each angle in the triangle.

Answer 1

Explanation:

In isocseles triangle, base angles are equal :

base angles are angle N and angle P:

angle N=angle P

3x+17=4x+2

4x-3x=17-2

x=15

For angle N:

subtitute x in angle N

=3(15)+17

=45+17

=62

For angle P:

subtitute x in angle P:

=4(15)+2

=60+2

=62

For angle O:

sum of all angles in a triangle is 180.

angle N +angle P+angle O=180

62+62+angle O=180

angle O=180-62-62

angle O=56

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