The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A (4x−13)° B 15° C (x+18)∘ What

Question

3 years ago

5

is the measure of ∠A and ∠C ? Enter your answers in the boxes. m∠A= º m∠C= º

2 answers:

mr_godi [17] · Answer 1 · 2022-08-24T03:59:14+03:00

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles given and equate to 180

4x - 13 + 15 + x + 18 = 180 ( simplify left side )

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

∠A = 4x - 13 = (4 × 32) - 13 = 128 - 13 = 115°

∠C = x + 18 = 32 + 18 = 50°

As a check : 115° + 15° + 50° = 180° ← correct

Irina-Kira [14] · Answer 2 · 2022-08-24T05:19:07+03:00

5 0

Answer:

I believe the answer above/below was CORRECT.

Step-by-step explanation:

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A ​ (4x−13)° ​ B 15° C (x+18)∘ What