Question

Two angles are complementary ,one angle is 42 more than the other . Solve the two equations by substitution method. ​

Answer 1

Answer:

42 degrees

Step-by-step explanation:

let the first angle be :- x

another angle:- 42+x (one angle is 42 greater than other)

x+42+x = 90 (since the angles are complementary)

42+2x = 90

2x = 90-42

2x = 48

x=24

the other one is 42+24 =66

therefore the angles are 24,66

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Answer 2

Given,

X + Y = 90°

&

X - Y =42°

where, x & y be the angles & x>y

now,

$x = y + 42$

so,

$(y + 42) + y = 90 \\ or \: 2y + 42 = 90 \\ or \: y = 24$

Therefore,

$x = (y + 42) = (24 + 42) \\ x = 66$

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