Chapter 2: Q. 199 (page 144)

The two smaller angles of a
right triangle have equal
measures. Find the measures of
all three angles.

Short Answer

Expert verified

The three angles measures: $45 °, 45 ° a n d 90 °$ .

Step by step solution

Given information:

Let $∠ A$ and $∠ B$ be the two smaller equal angles of measure $a °$

Third angle $∠ C$ be $90 °$ (Right triangle)

Step 2:

Formula: $∠ A + ∠ B + ∠ C = 180 °$

Step 3:

Substitute, $a ° + a ° + 90 ° = 180 °$

Step 4:

Solving: $2 a ° + 90 ° = 180 °$

$2 a ° = 180 ° - 90 ° 2 a ° = 90 ° a ° = \frac{90 °}{2} = 45 °$

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The two smaller angles of a
right triangle have equal
measures. Find the measures of
all three angles.

Short Answer

Step by step solution

Given information:

Step 2:

Step 3:

Step 4:

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The two smaller angles of aright triangle have equalmeasures. Find the measures ofall three angles.

Short Answer

Step by step solution

Given information:

Step 2:

Step 3:

Step 4:

One App. One Place for Learning.

Most popular questions from this chapter

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Decision Maths

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Study anywhere. Anytime. Across all devices.

The two smaller angles of a
right triangle have equal
measures. Find the measures of
all three angles.