135,411 views
22 votes
22 votes
Help me with this question please!!

Help me with this question please!!-example-1
User Shobi
by
2.8k points

1 Answer

13 votes
13 votes

Answer:

  • ∠1 = 19°
  • ∠2 = 76°

Explanation:

You want to know the measure of angle 1 given that angle 2 is four times angle 1, and their sum is 95°.

Angle sum theorem

The angle sum theorem tells you the whole is equal to the sum of the parts.

∠1 +∠2 = ∠WXZ

Using the given information, we can write ...

∠1 + (4×∠1) = 95°

5×∠1 = 95° . . . . . . . . collect terms

∠1 = 19° . . . . . . . . . divide by 5

Then angle 2 is ...

∠2 = 4×∠1 = 4×19°

∠2 = 76°

User Gaspard Merten
by
3.0k points