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find the requested values. triangle uvw with angle at u: 70°, angle at …

Question

find the requested values.
triangle uvw with angle at u: 70°, angle at v: 41°, angle at w: 5d - 1°

Explanation:

Step1: Sum of triangle angles is 180°

$$70 + 41 + (5d - 1) = 180$$

Step2: Simplify left side

$$110 + 5d = 180$$

Step3: Isolate 5d term

$$5d = 180 - 110$$
$$5d = 70$$

Step4: Solve for d

$$d = \frac{70}{5}$$

Answer:

$d = 14$