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Step-by-step explanation:
Let the 1st acute angle be x°
then the 2nd acut angle be (x - 12)°
A.T.Q.
90 + x + (x-12) = 180° [sum of interior angles]
=> 78 + 2x = 180°
=> 2x = 180 - 78
=> 2x = 102
=> x = 102 ÷ 2
Hence, x = 51
Now,
1st acute angle = x° = 51°
and, 2nd acute angle = x - 12
=>51° - 12°
=> 39°
Thus, two acute angles are 51° and 39°.
Similar questions
2x+78=180
2x=102
x=51
and x- 12= 51-12=39