121,170 views
0 votes
0 votes
Plzzzz Help :'( ASAP! I Don't Understand

Plzzzz Help :'( ASAP! I Don't Understand-example-1
Plzzzz Help :'( ASAP! I Don't Understand-example-1
Plzzzz Help :'( ASAP! I Don't Understand-example-2
User Dmitry Kazakov
by
2.5k points

2 Answers

26 votes
26 votes

Answer:

D) 119°

C) The two angles are supplementary.

Explanation:

First problem:

<1 is an exterior angle of the triangle.

<A and <B are interior angles of the triangle far from <1.

For <1, angles A and B are called remote interior angles.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

m<1 = m<A + m<B

m<1 = 87° + 32°

m<1 = 119°

Answer: D) 119°

Second problem:

AB is a line. The diagonal line intersects line AB forming 4 angles, a, b, c, and d. Angles c and d are next to each other, called adjacent angles, and have a common side, and the other two sides lie on line AB. That makes angles c and d a "linear pair." Two angles in a linear pair have measures that add to 180°, so angles c and d are supplementary angles.

Answer: C) The two angles are supplementary.

User Luca Manzo
by
2.9k points
27 votes
27 votes

Answer:

D.) 119º

Explanation:

All angles in a triangle have to add up to 180º. Add 87º and 32º to get 119º, then subtract from 180º to get 61º. Angle C is 61º. Since it's also supplementary to 1, subtract 61º from 180º. 1 is 119º.

User Rajeshpanwar
by
2.8k points