Question

question 14 (5 points)
describe the pair of angles shown in the figure.
a) supplementary angles
b) adjacent angles
c) complementary angles
d) vertical angles

Explanation:

• Supplementary angles: Two angles are supplementary if their sum is \(180^{\circ}\). Here, \(35^{\circ}+65^{\circ}=100^{\circ}

eq180^{\circ}\), so not supplementary.

• Adjacent angles: Adjacent angles share a common vertex and a common side. In the given figure, the two angles (\(35^{\circ}\) and \(65^{\circ}\)) share vertex \(D\) and side \(DB\).
• Complementary angles: Two angles are complementary if their sum is \(90^{\circ}\). Since \(35^{\circ}+65^{\circ}=100^{\circ}

eq90^{\circ}\), not complementary.

• Vertical angles: Vertical angles are opposite angles formed by the intersection of two lines. These angles are not formed by two - line intersections in the given way.

Answer:

B. Adjacent angles