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ENGAGEMENT:
Learning Task 2.
Directions: Find the measure of all angles if the measure of 26 = 5x - 10; 23 = 8x - 34; and the value of x.
3
2
9
7
6
8
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ENGAGEMENTLearning Task 2Directions Find The Measure Of All Angles If The Measure Of 26 5x 10 23 8x 34 And The Value Of X329768pa Helf class=

Sagot :

Answer:

angle 6 = 5x - 10, angle 3 = 8x - 34

angle 6 = angle 3

5x - 10 = 8x - 34

-10 + 34 = 8x - 5x

24 = 3x

24/3 = 3x/3

8 = x

angle 6 = 5x - 10

= 5(8) - 10

= 40 - 10

angle 6 = 30°

angle 3 = 8x - 34

= 8(8) - 34

= 64 - 34

angle 3 = 30°

angle 1: angle 3 + angle 1 = 180°

: 30° + angle 1 = 180°

: angle 1 = 180° - 30 °

: angle 1 = 150°

angle 2: angle 1 + angle 2 = 180°

: 150° + angle 2 = 180°

: angle 2 = 180° - 150°

angle 2 = 30°

angle 2 = angle 3

angle 4: angle 2 + angle 4 = 180°

: 30° + angle 4 = 180°

: angle 4 = 180° - 30°

: angle 4 = 150°

angle 4 = angle 1

angle 5: angle 6 + angle 5 = 180°

: 30° + angle 5 = 190°

: angle 5 = 180° - 30°

: angle 5 = 150°

angle 7: angle 7 + angle 5 = 180°

: angle 7 + 150° = 180°

: angle 7 = 180° - 150°

: angle 7 = 30°

angle 7 = angle 6

angle 8: angle 8 + angle 7 = 180°

: angle 8 + 30° = 180°

: angle 8 = 180° - 30°

: angle 8 = 150°

angle 8 = angle 5