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3 years ago

I need help with solving for x. Then find the measure of the base angle. Please

Mathematics

2 answers:

Paraphin [41]3 years ago

8 0

Answer:

x = 8 base angle = 81 degrees

Step-by-step explanation:

IRINA_888 [86]3 years ago

8 0

Answer:

x = 8

base angle = 81 deg

Step-by-step explanation:

we observe that because the given triangle is a isosceles triangle, the base angles must be the same.

Hence the missing base angle must also be (10x+1)°

recall that all internal angles of an triangle must add up to 180 deg,

hence

180° = sum of all internal angles

180° = 18° + (10x+1)° + (10x+1)°

180° = 18° + 2(10x+1)° (subtracting 18 from both sides)

180 - 18 = 2(10x+1)

162 = 2(10x+1) dividing both sides by 2)

162 / 2 = 10x + 1

81 = 10x + 1 (subtracting 1 from both sides)

81 - 1 = 10x

10x = 80 (divide both sides by 10)

x = 80/10

x = 8 (answer)

substituting x = 8 into the expression for the base angle

base angle = (10x+1)

= 10(8) + 1

= 10 + 1

= 81

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