ANSWER FAST
The measures of the angles of △ABC are given by the expressions in the table.
Angle Measure
A (12x+12)∘
B 15°
C (3x+18)∘
What is the measure of ∠A and ∠C ?
Enter your answers in the boxes.
m∠A= º
m∠C= º
Mysteriousson771:
Can you please hurry i only have 2 more mins
Answers
Answered by
5
∠A + ∠B + ∠C = 180° (angle sum property)
12x +12° + 15° + 3x + 18° = 180°
15x + 45° = 180°
15x = 180° - 45°
15x = 135°
x = 135°/15
x = 9°
∴ ∠A = (12 × 9 + 12) = 120°
∴ ∠C = (3 × 9 + 18) = 45°
Answered by
1
(12x+12)+15+(3x+18)=180°
12x+12+15+13x+18=180
12x+13x+12+15+18=180
25x+55=180
25x=180-55
25x=125
x=125/25
x=5. ........
m(angle A)=(12x+12)
=12(5)+12
=60+12
m(angle A)=72°
m(angle C)=(3x+18)
=3(5)+18
=15+18
m(angle C)=33°
12x+12+15+13x+18=180
12x+13x+12+15+18=180
25x+55=180
25x=180-55
25x=125
x=125/25
x=5. ........
m(angle A)=(12x+12)
=12(5)+12
=60+12
m(angle A)=72°
m(angle C)=(3x+18)
=3(5)+18
=15+18
m(angle C)=33°
Similar questions
Math,
7 months ago
Social Sciences,
7 months ago
Biology,
1 year ago
Social Sciences,
1 year ago
Geography,
1 year ago