Two adjacent angles form a straight angle which has a measure of 180°. Since the resulting angle formed by the two adjacent angles is 90°, it means that the two adjacent angles are complementary. Therefore, we can set up the equation:
(x+4) + (3x+2) = 90
Simplifying this equation, we combine like terms:
4x + 6 = 90
Next, we isolate the variable:
4x = 90 - 6
4x = 84
Dividing both sides by 4:
x = 84/4
x = 21
Now, we substitute the value of x back into the expressions for the two unknown angles:
Angle 1: (21+4)° = 25°
Angle 2: (3(21)+2)° = 65°
Therefore, the two unknown angles’ measurements are 25° and 65°.
Two adjacent angles form a resulting angle with measure 90° . (x+4)° and (3x+2)° . Solve for x . What are the two unknown angles’ measurements?
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1 answer