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Sagot :
Step-by-step explanation:
1.
first angle is x
second angle is x+28
x+(x+28)= 180
2x+28= 180
x+14= 90
x= 90-14
x= 76
first angle is 76,
to find second angle, add 28 to 76
76+28= 104
the two angles are 76 and 104
Number one lang po kinaya
Answer:
- m∠1 = 104°, m∠2 = 76°
- m∠1 = -13°
Step-by-step explanation:
1) The measure of an angle is 28 more than the measure of its supplement. Find the measure of both angles.
a) Given
- i) m∠1 = (x + 28) °
- ii) m∠2 = x°
b) Asked
- i) m∠1 =?
- ii) m∠2 =?
c) Formula
- i) m∠1 + m∠2 = 180°
- ii) Substitution of the value of x
d) Solution
- i) m∠1 + m∠2 = 180
- (1) x + 28 + x= 180
- (2) 2x + 28 = 180
- (3) 2x + 28 - 28 = 180 -28
- (4) 2x = 152
- (5) 2x/2 = 152
- (6) x = 76
- ii) Substitution of the value of x
- (1) m∠1 = (x + 28) °
- (a) m∠1 = (76 + 28) °
- (b) m∠1 = 104°
- (2) m∠2 = x°
- (a) m∠2 = 76°
e) Final Answer
i) m∠1 = 104°, m∠2 = 76°
2) What is the measure of the angle if the measure of its complement is 129 more than twice its measure?
a) Given
- i) m∠1 = x°
- ii) m∠2 = (129 + 2x) °
b) Asked
- i) m∠1 =?
c) Formula
- i) m∠1 + m∠2 = 90°
- ii) Substitution of the value of x
d) Solution
- i) m∠1 + m∠2 = 90°
- ii) x + 129 + 2x = 90
- iii) 3x + 129 = 90
- iv) 3x + 129 – 129 = 90 – 129
- v) 3x = -39
- vi) 3x/3 = -39/3
- vii) x = - 13
- viii) m∠1 = -13°
e) Final Answer
- i) m∠1 = -13°
I hope it helps! Thank you! ❤️
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