kamthegoatgod04
kamthegoatgod04 kamthegoatgod04
  • 21-08-2021
  • Mathematics
contestada

Suppose that NOP is isosceles with base.
Suppose also that and.
Find the degree measure of each angle in the triangle.

Suppose that NOP is isosceles with base Suppose also that and Find the degree measure of each angle in the triangle class=

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ma5007482
ma5007482 ma5007482
  • 21-08-2021

Step-by-step 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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