Question

you may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale. answer attempt 1 out of 3 m∠c = ° submit answer

Explanation:

Step1: Recall sum of angles in quadrilateral

The sum of interior - angles of a quadrilateral is 360°.

Step2: Find the measure of ∠ADC

Since ∠ADE = 57°, then ∠ADC=180 - 57=123° (linear - pair of angles).

Step3: Calculate ∠C

Let ∠A = 70°, ∠B = 124°, and ∠ADC = 123°. Using the formula ∠A+∠B+∠C+∠ADC = 360°.
We can solve for ∠C: ∠C=360-(∠A + ∠B+∠ADC).
Substitute the values: ∠C=360-(70 + 124+123).
First, calculate the sum inside the parentheses: 70 + 124+123 = 317.
Then, ∠C=360 - 317=43°.

Answer:

43