Answer:
z = 13°
Step-by-step explanation:
Given the complementary angles, < (5z - 6)° and (2z + 5)°, whose measures add up to 90°:
We can solve for the value of z by establishing the following equation:
< (5z - 6)° + < (2z + 5)° = 90°
5z - 6 + 2z + 5 = 90°
Add like terms:
7z - 1 = 90°
Add 1 to both sides of the equation:
7z - 1 + 1 = 90° + 1
7z = 91°
Divide both sides by 7 to solve for z:
7z/7 = 91°/7
z = 13°
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