Question 1: Two supplementary angles differ by 34 degrees. Find the Angles?
Question 2: An angle is equal to five times its complement. Determine its measure.
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Answers
Step-by-step explanation:
x+y=180
x-y=34
Add
2x=214
x=107
y= 73
107 and 73 are angles
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→ Hey Mate,
→ Given Question :-
→ 1) Two supplementary angles differ by 34 degrees. Find the Angles?
→ 2) An angle is equal to five times its complement. Determine its measure.
→ To find :-
→ 1) Find the Angles?
→ 2) Determine its measure?
→ Answer:-
→ 1) Let one angle be x °,
→ Then the other angle is ( x + 34 )°
→ It is given that x° and ( x + 34 )° are supplementary angles.
→ ∴ x + ( x + 34 ) = 180
→ 2x + 34 = 180
→ 2x = 180 - 34
→ 2x = 146
→ x = 73
→ Thus , two angles of measure 73° , and 107°
→ How 107 ° = ?
→ so , 73 ° + 34° = 107°
→ 2) Let the measure of the given angle be x°.
→ Then, the measure of its complement is ⇒
→ ( 90 - x)°
→ Now, Angle = 5 × Its complement
→ x = 5( 90 - x )
→ x = 450 - 5x
→ 6x = 450
→ x = 75
→ Thus , the measure of the given angle is 75°.
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