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1. They are supplementary angles

2. m<4 is 100 by vertical angles theorem

3.  m<5 is 100 since parallel lines form congruent angles

4. Alternate exterior angles are equal making the <b 38°

5. <9 and <10 are equal since they are corresponding angles and corresponding angles formed from parallels are equal. Complementary angles are those which add to 90°. Because they are complemenatary angles, their sum is 90 making each of them 45°

<9=45

6. IN a right triangle we know that one of the measures is 90° and sicne we know the other we can find the missing angle (third angle)

THe interior angles of any triangle add up to 180 and therefore 90+25+x=180

115+x=180

65=x

Step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629