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vodomira [7]
2 years ago
8

Help me plssss Find m < ABC.

Mathematics
2 answers:
jonny [76]2 years ago
8 0

Answer:

m<ABC=51°

Step-by-step explanation:

The inscribed angle is half the measure of the intercepted arc. This means that angle ABC=1/2 arc AC

Using this, let's make an equation

5x+11=(1/2)(16x-26)

5x+11=8x-13

11=3x-13

24=3x

x=8

Now go back to angle ABC and substitute for x

5(8)+11=51

m<ABC=51°

SVETLANKA909090 [29]2 years ago
6 0

Answer:

m<ABC = 51

Step-by-step explanation:

m<ABC = 1/2 arc AC

(5x + 11) = 1/2(16x-26)

x=8

Plug it in

5(8) + 11 = 51

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