Rowena has a $150,000 homeowner's insurance policy with a $1,000 deductible on her house. her premium payment is $100 per month. if she makes a $5,000 claim on the policy in a given year, how much will she pay out of pocket in premiums and deductible that year?

answer; new forestry

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11