Danilobalagot88idn
Answered

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1. The measure of an angle is 28 more than the measure of its supplement
Find the measure of both angles.
2. What is the measure of the angle iſ the measure of its complement is 129
more than twice its measure? pake sagutan plss yung maayos na sagot po plss lang​

Sagot :

Emman63216idn

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

Nobleprotectionidn

Answer:

  1. m∠1 = 104°, m∠2 = 76°
  2. 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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